31001310013 has 4 divisors (see below), whose sum is σ = 31002866208. Its totient is φ = 30999753820.

The previous prime is 31001309953. The next prime is 31001310023.

It is a happy number.

31001310013 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31001310013 is a prime.

It is a super-2 number, since 2×31001310013² (a number of 22 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 = 31001309975 and 31001310002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001310023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 747823 + ... + 788188.

It is an arithmetic number, because the mean of its divisors is an integer number (7750716552).

Almost surely, 2^31001310013 is an apocalyptic number.

It is an amenable number.

31001310013 is a deficient number, since it is larger than the sum of its proper divisors (1556195).

31001310013 is a wasteful number, since it uses less digits than its factorization.

31001310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556194.

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

The spelling of 31001310013 in words is "thirty-one billion, one million, three hundred ten thousand, thirteen".