31013031013 has 8 divisors (see below), whose sum is σ = 31324264056. Its totient is φ = 30701880000.

The previous prime is 31013030959. The next prime is 31013031041.

31013031013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 10036433124 + 20976597889 = 100182^2 + 144833^2 .

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 31013031013 - 2²⁹ = 30476160101 is a prime.

It is a super-2 number, since 2×31013031013² (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 (31019031013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 984495 + ... + 1015507.

It is an arithmetic number, because the mean of its divisors is an integer number (3915533007).

Almost surely, 2^31013031013 is an apocalyptic number.

It is an amenable number.

31013031013 is a deficient number, since it is larger than the sum of its proper divisors (311233043).

31013031013 is a wasteful number, since it uses less digits than its factorization.

31013031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41015.

The product of its (nonzero) digits is 81, while the sum is 16.

It can be divided in two parts, 310130 and 31013, that added together give a palindrome (341143).

The spelling of 31013031013 in words is "thirty-one billion, thirteen million, thirty-one thousand, thirteen".