311411101114113 has 96 divisors (see below), whose sum is σ = 561732629515008. Its totient is φ = 149323212910080.

The previous prime is 311411101114111. The next prime is 311411101114121.

311411101114113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311411101114113 - 2¹ = 311411101114111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311411101114111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1166492995 + ... + 1166759927.

It is an arithmetic number, because the mean of its divisors is an integer number (5851381557448).

Almost surely, 2^{311411101114113} is an apocalyptic number.

311411101114113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311411101114113 is a deficient number, since it is larger than the sum of its proper divisors (250321528400895).

311411101114113 is a wasteful number, since it uses less digits than its factorization.

311411101114113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302295 (or 302284 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 24.

It can be divided in two parts, 31141110 and 1114113, that added together give a palindrome (32255223).

The spelling of 311411101114113 in words is "three hundred eleven trillion, four hundred eleven billion, one hundred one million, one hundred fourteen thousand, one hundred thirteen".