310011000110013 has 32 divisors (see below), whose sum is σ = 425805497555200. Its totient is φ = 200479279910400.

The previous prime is 310011000109981. The next prime is 310011000110039.

310011000110013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310011000110013 - 2⁵ = 310011000109981 is a prime.

It is a super-2 number, since 2×310011000110013² (a number of 30 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 (310011000111013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237633081 + ... + 238934097.

It is an arithmetic number, because the mean of its divisors is an integer number (13306421798600).

Almost surely, 2^{310011000110013} is an apocalyptic number.

It is an amenable number.

310011000110013 is a deficient number, since it is larger than the sum of its proper divisors (115794497445187).

310011000110013 is a wasteful number, since it uses less digits than its factorization.

310011000110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307557.

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

It can be divided in two parts, 310011000 and 110013, that added together give a palindrome (310121013).

The spelling of 310011000110013 in words is "three hundred ten trillion, eleven billion, one hundred ten thousand, thirteen".