1131166334431 has 48 divisors (see below), whose sum is σ = 1429491333312. Its totient is φ = 873474600960.

The previous prime is 1131166334429. The next prime is 1131166334443. The reversal of 1131166334431 is 1344336611311.

It is not a de Polignac number, because 1131166334431 - 2¹ = 1131166334429 is a prime.

It is a super-2 number, since 2×1131166334431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131166334231) 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, 10548721 + ... + 10655413.

It is an arithmetic number, because the mean of its divisors is an integer number (29781069444).

Almost surely, 2^{1131166334431} is an apocalyptic number.

1131166334431 is a deficient number, since it is larger than the sum of its proper divisors (298324998881).

1131166334431 is a wasteful number, since it uses less digits than its factorization.

1131166334431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106852 (or 106811 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The spelling of 1131166334431 in words is "one trillion, one hundred thirty-one billion, one hundred sixty-six million, three hundred thirty-four thousand, four hundred thirty-one".