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1131323201333 = 13412122557601
BaseRepresentation
bin10000011101101000000…
…111100001011100110101
311000011010212012021002122
4100131220013201130311
5122013422214420313
62223420034245325
7144510146355143
oct20355007413465
94004125167078
101131323201333
113a68784a9846
12163311a26845
13828b633c930
143ca83552593
151e66584e708
hex107681e1735

1131323201333 has 8 divisors (see below), whose sum is σ = 1248063869976. Its totient is φ = 1018827648000.

The previous prime is 1131323201321. The next prime is 1131323201341. The reversal of 1131323201333 is 3331023231311.

It can be written as a sum of positive squares in 4 ways, for example, as 69283715524 + 1062039485809 = 263218^2 + 1030553^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1131323201333 - 28 = 1131323201077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131323201363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061278268 + ... + 1061279333.

It is an arithmetic number, because the mean of its divisors is an integer number (156007983747).

Almost surely, 21131323201333 is an apocalyptic number.

1131323201333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1131323201333 is a deficient number, since it is larger than the sum of its proper divisors (116740668643).

1131323201333 is a wasteful number, since it uses less digits than its factorization.

1131323201333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122557655.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1131323201333 its reverse (3331023231311), we get a palindrome (4462346432644).

The spelling of 1131323201333 in words is "one trillion, one hundred thirty-one billion, three hundred twenty-three million, two hundred one thousand, three hundred thirty-three".

Divisors: 1 13 41 533 2122557601 27593248813 87024861641 1131323201333