311141040141113 has 24 divisors (see below), whose sum is σ = 391958631348480. Its totient is φ = 244802232732960.

The previous prime is 311141040141089. The next prime is 311141040141143.

311141040141113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311141040141113 - 2¹² = 311141040137017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311141040141143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1364264393 + ... + 1364492438.

It is an arithmetic number, because the mean of its divisors is an integer number (16331609639520).

Almost surely, 2^{311141040141113} is an apocalyptic number.

It is an amenable number.

311141040141113 is a deficient number, since it is larger than the sum of its proper divisors (80817591207367).

311141040141113 is a wasteful number, since it uses less digits than its factorization.

311141040141113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728757037 (or 2728757030 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 311141040141113 in words is "three hundred eleven trillion, one hundred forty-one billion, forty million, one hundred forty-one thousand, one hundred thirteen".