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1310133333132 = 2232135575025907
BaseRepresentation
bin10011000100001010000…
…010000010110010001100
311122020200110000010000200
4103010022002002302030
5132431123113130012
62441511132053500
7163440216405561
oct23041202026214
94566613003020
101310133333132
11465696125378
12191ab5004290
13967115c9550
14475a72d8868
152412d86e3dc
hex1310a082c8c

1310133333132 has 72 divisors (see below), whose sum is σ = 3572877789936. Its totient is φ = 402394137984.

The previous prime is 1310133333077. The next prime is 1310133333133. The reversal of 1310133333132 is 2313333310131.

1310133333132 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 13 + 333 + 313 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1310133333096 and 1310133333105.

It is not an unprimeable number, because it can be changed into a prime (1310133333133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2252278 + ... + 2773629.

It is an arithmetic number, because the mean of its divisors is an integer number (49623302638).

Almost surely, 21310133333132 is an apocalyptic number.

1310133333132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1310133333132 is an abundant number, since it is smaller than the sum of its proper divisors (2262744456804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1310133333132 is a wasteful number, since it uses less digits than its factorization.

1310133333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026487 (or 5026482 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1310133333132 its reverse (2313333310131), we get a palindrome (3623466643263).

The spelling of 1310133333132 in words is "one trillion, three hundred ten billion, one hundred thirty-three million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 557 1114 1671 2228 3342 5013 6684 7241 10026 14482 20052 21723 28964 43446 65169 86892 130338 260676 5025907 10051814 15077721 20103628 30155442 45233163 60310884 65336791 90466326 130673582 180932652 196010373 261347164 392020746 588031119 784041492 1176062238 2352124476 2799430199 5598860398 8398290597 11197720796 16796581194 25194871791 33593162388 36392592587 50389743582 72785185174 100779487164 109177777761 145570370348 218355555522 327533333283 436711111044 655066666566 1310133333132