1315134315131 has 48 divisors (see below), whose sum is σ = 1699934737536. Its totient is φ = 1007905296384.

The previous prime is 1315134315109. The next prime is 1315134315149.

1315134315131 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-1315134315131 is a prime.

It is a super-2 number, since 2×1315134315131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1315134315161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2677655 + ... + 3130511.

It is an arithmetic number, because the mean of its divisors is an integer number (35415307032).

Almost surely, 2^{1315134315131} is an apocalyptic number.

1315134315131 is a deficient number, since it is larger than the sum of its proper divisors (384800422405).

1315134315131 is a wasteful number, since it uses less digits than its factorization.

1315134315131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453028 (or 453021 counting only the distinct ones).

The product of its digits is 8100, while the sum is 32.

The spelling of 1315134315131 in words is "one trillion, three hundred fifteen billion, one hundred thirty-four million, three hundred fifteen thousand, one hundred thirty-one".