101313000031 has 8 divisors (see below), whose sum is σ = 101575618704. Its totient is φ = 101050535040.

The previous prime is 101312999999. The next prime is 101313000037. The reversal of 101313000031 is 130000313101.

It is a happy number.

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 101313000031 - 2⁵ = 101312999999 is a prime.

It is a super-2 number, since 2×101313000031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101312999975 and 101313000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313000037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1345965 + ... + 1419241.

It is an arithmetic number, because the mean of its divisors is an integer number (12696952338).

Almost surely, 2^101313000031 is an apocalyptic number.

101313000031 is a deficient number, since it is larger than the sum of its proper divisors (262618673).

101313000031 is an equidigital number, since it uses as much as digits as its factorization.

101313000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76841.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 101313000031 its reverse (130000313101), we get a palindrome (231313313132).

The spelling of 101313000031 in words is "one hundred one billion, three hundred thirteen million, thirty-one", and thus it is an aban number.