1314042404131 has 16 divisors (see below), whose sum is σ = 1360564286400. Its totient is φ = 1267601827968.

The previous prime is 1314042404117. The next prime is 1314042404179.

1314042404131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1314042404131 - 2⁵ = 1314042404099 is a prime.

It is a super-2 number, since 2×1314042404131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1314042404131.

It is not an unprimeable number, because it can be changed into a prime (1314042401131) 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, 239917365 + ... + 239922841.

It is an arithmetic number, because the mean of its divisors is an integer number (85035267900).

Almost surely, 2^{1314042404131} is an apocalyptic number.

1314042404131 is a deficient number, since it is larger than the sum of its proper divisors (46521882269).

1314042404131 is a wasteful number, since it uses less digits than its factorization.

1314042404131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11358.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 1314042404131 in words is "one trillion, three hundred fourteen billion, forty-two million, four hundred four thousand, one hundred thirty-one".