101311431302313 has 64 divisors (see below), whose sum is σ = 156764821893120. Its totient is φ = 64543316213376.

The previous prime is 101311431302287. The next prime is 101311431302423. The reversal of 101311431302313 is 313203134113101.

101311431302313 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 1 + 43 + 1 + 302 + 313 = 666.

It is not a de Polignac number, because 101311431302313 - 2⁸ = 101311431302057 is a prime.

It is a super-2 number, since 2×101311431302313² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101311431302513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4401579981 + ... + 4401602997.

It is an arithmetic number, because the mean of its divisors is an integer number (2449450342080).

Almost surely, 2^{101311431302313} is an apocalyptic number.

It is an amenable number.

101311431302313 is a deficient number, since it is larger than the sum of its proper divisors (55453390590807).

101311431302313 is a wasteful number, since it uses less digits than its factorization.

101311431302313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29443 (or 29437 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 101311431302313 its reverse (313203134113101), we get a palindrome (414514565415414).

The spelling of 101311431302313 in words is "one hundred one trillion, three hundred eleven billion, four hundred thirty-one million, three hundred two thousand, three hundred thirteen".