310111020111013 has 12 divisors (see below), whose sum is σ = 344240741264364. Its totient is φ = 279127830872000.

The previous prime is 310111020111007. The next prime is 310111020111029.

310111020111013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 294541863977284 + 15569156133729 = 17162222^2 + 3945777^2 .

It is not a de Polignac number, because 310111020111013 - 2²¹ = 310111018013861 is a prime.

It is a super-4 number, since 4×310111020111013⁴ (a number of 59 digits) contains 4444 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 (310111020111043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12687616456 + ... + 12687640897.

It is an arithmetic number, because the mean of its divisors is an integer number (28686728438697).

Almost surely, 2^{310111020111013} is an apocalyptic number.

It is an amenable number.

310111020111013 is a deficient number, since it is larger than the sum of its proper divisors (34129721153351).

310111020111013 is a wasteful number, since it uses less digits than its factorization.

310111020111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25375257476 (or 25375257465 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 310111020111013 in words is "three hundred ten trillion, one hundred eleven billion, twenty million, one hundred eleven thousand, thirteen".