1131538351311 has 72 divisors (see below), whose sum is σ = 1772090611200. Its totient is φ = 693820365120.

The previous prime is 1131538351261. The next prime is 1131538351367.

1131538351311 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 53 + 83 + 513 + 11 = 666.

1131538351311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1131538351311 - 2⁹ = 1131538350799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131538351711) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112128376 + ... + 112138466.

It is an arithmetic number, because the mean of its divisors is an integer number (24612369600).

Almost surely, 2^{1131538351311} is an apocalyptic number.

1131538351311 is a deficient number, since it is larger than the sum of its proper divisors (640552259889).

1131538351311 is a wasteful number, since it uses less digits than its factorization.

1131538351311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10669 (or 10629 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The spelling of 1131538351311 in words is "one trillion, one hundred thirty-one billion, five hundred thirty-eight million, three hundred fifty-one thousand, three hundred eleven".