31111300311113 has 16 divisors (see below), whose sum is σ = 35937324115776. Its totient is φ = 26618348682240.

The previous prime is 31111300311067. The next prime is 31111300311187.

It is a happy number.

31111300311113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31111300311113 - 2¹⁰ = 31111300310089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31111300311193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2347745 + ... + 8230097.

It is an arithmetic number, because the mean of its divisors is an integer number (2246082757236).

Almost surely, 2^{31111300311113} is an apocalyptic number.

It is an amenable number.

31111300311113 is a deficient number, since it is larger than the sum of its proper divisors (4826023804663).

31111300311113 is a wasteful number, since it uses less digits than its factorization.

31111300311113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910664.

The product of its (nonzero) digits is 81, while the sum is 20.

It can be divided in two parts, 31111300 and 311113, that multiplied together give a square (9679129876900 = 3111130²).

The spelling of 31111300311113 in words is "thirty-one trillion, one hundred eleven billion, three hundred million, three hundred eleven thousand, one hundred thirteen".