31011011013 has 32 divisors (see below), whose sum is σ = 42416123904. Its totient is φ = 20147400000.

The previous prime is 31011011011. The next prime is 31011011033.

31011011013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31011011013 - 2¹ = 31011011011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31011011013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31011011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25191108 + ... + 25192338.

It is an arithmetic number, because the mean of its divisors is an integer number (1325503872).

Almost surely, 2^31011011013 is an apocalyptic number.

It is an amenable number.

31011011013 is a deficient number, since it is larger than the sum of its proper divisors (11405112891).

31011011013 is a wasteful number, since it uses less digits than its factorization.

31011011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577.

The product of its (nonzero) digits is 9, while the sum is 12.

It can be divided in two parts, 310110 and 11013, that added together give a palindrome (321123).

The spelling of 31011011013 in words is "thirty-one billion, eleven million, eleven thousand, thirteen".