1311314131131 has 16 divisors (see below), whose sum is σ = 1839470323488. Its totient is φ = 829836230400.

The previous prime is 1311314131117. The next prime is 1311314131139.

1311314131131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1311314131131 - 2¹⁰ = 1311314130107 is a prime.

It is a super-2 number, since 2×1311314131131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311314131139) 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, 144064240 + ... + 144073341.

It is an arithmetic number, because the mean of its divisors is an integer number (114966895218).

Almost surely, 2^{1311314131131} is an apocalyptic number.

1311314131131 is a deficient number, since it is larger than the sum of its proper divisors (528156192357).

1311314131131 is a wasteful number, since it uses less digits than its factorization.

1311314131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288137662.

The product of its digits is 324, while the sum is 24.

The spelling of 1311314131131 in words is "one trillion, three hundred eleven billion, three hundred fourteen million, one hundred thirty-one thousand, one hundred thirty-one".