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1313013023001 = 34191734149199
BaseRepresentation
bin10011000110110101101…
…011001100000100011001
311122112010010122111220000
4103012311223030010121
5133003022313214001
62443105001523213
7163601454356061
oct23066553140431
94575103574800
101313013023001
11466933691a59
121925794a3509
1396a800a8954
144779b9443a1
152424b59aa86
hex131b5acc119

1313013023001 has 40 divisors (see below), whose sum is σ = 2064807888000. Its totient is φ = 829206707040.

The previous prime is 1313013022939. The next prime is 1313013023029. The reversal of 1313013023001 is 1003203103131.

It is a happy number.

1313013023001 is a `hidden beast` number, since 1 + 31 + 30 + 1 + 302 + 300 + 1 = 666.

It is not a de Polignac number, because 1313013023001 - 210 = 1313013021977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313013023701) 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 39 ways as a sum of consecutive naturals, for example, 26663200 + ... + 26712398.

It is an arithmetic number, because the mean of its divisors is an integer number (51620197200).

Almost surely, 21313013023001 is an apocalyptic number.

It is an amenable number.

1313013023001 is a deficient number, since it is larger than the sum of its proper divisors (751794864999).

1313013023001 is a wasteful number, since it uses less digits than its factorization.

1313013023001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66571 (or 66562 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313013023001 its reverse (1003203103131), we get a palindrome (2316216126132).

The spelling of 1313013023001 in words is "one trillion, three hundred thirteen billion, thirteen million, twenty-three thousand, one".

Divisors: 1 3 9 19 27 57 81 171 513 1539 17341 49199 52023 147597 156069 329479 442791 468207 934781 988437 1328373 1404621 2804343 2965311 3985119 8413029 8895933 25239087 26687799 75717261 853159859 2559479577 7678438731 16210037321 23035316193 48630111963 69105948579 145890335889 437671007667 1313013023001