31001010013 has 4 divisors (see below), whose sum is σ = 31002441340. Its totient is φ = 30999578688.

The previous prime is 31001009987. The next prime is 31001010113.

31001010013 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 20743776729 + 10257233284 = 144027^2 + 101278^2 .

It is a cyclic number.

It is not a de Polignac number, because 31001010013 - 2⁵ = 31001009981 is a prime.

It is a super-2 number, since 2×31001010013² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001010113) 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, 682668 + ... + 726661.

It is an arithmetic number, because the mean of its divisors is an integer number (7750610335).

Almost surely, 2^31001010013 is an apocalyptic number.

It is an amenable number.

31001010013 is a deficient number, since it is larger than the sum of its proper divisors (1431327).

31001010013 is a wasteful number, since it uses less digits than its factorization.

31001010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431326.

The product of its (nonzero) digits is 9, while the sum is 10.

It can be divided in two parts, 310010 and 10013, that added together give a palindrome (320023).

The spelling of 31001010013 in words is "thirty-one billion, one million, ten thousand, thirteen".