1311334331131 has 24 divisors (see below), whose sum is σ = 1451547144432. Its totient is φ = 1183745164800.

The previous prime is 1311334331117. The next prime is 1311334331159.

1311334331131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1311334331131 - 2³⁹ = 761578517243 is a prime.

It is a super-2 number, since 2×1311334331131² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1311334331131.

It is not an unprimeable number, because it can be changed into a prime (1311334331101) 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, 10054071 + ... + 10183663.

It is an arithmetic number, because the mean of its divisors is an integer number (60481131018).

Almost surely, 2^{1311334331131} is an apocalyptic number.

1311334331131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1311334331131 is a deficient number, since it is larger than the sum of its proper divisors (140212813301).

1311334331131 is a wasteful number, since it uses less digits than its factorization.

1311334331131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130203 (or 130192 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

The spelling of 1311334331131 in words is "one trillion, three hundred eleven billion, three hundred thirty-four million, three hundred thirty-one thousand, one hundred thirty-one".