133731137331 has 72 divisors (see below), whose sum is σ = 219038378832. Its totient is φ = 78505891200.

The previous prime is 133731137311. The next prime is 133731137333.

133731137331 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 311 + 3 + 7 + 331 = 666.

133731137331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133731137331 - 2⁵ = 133731137299 is a prime.

It is a super-2 number, since 2×133731137331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133731137333) 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, 9139201 + ... + 9153821.

It is an arithmetic number, because the mean of its divisors is an integer number (3042199706).

Almost surely, 2^133731137331 is an apocalyptic number.

133731137331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133731137331 is a deficient number, since it is larger than the sum of its proper divisors (85307241501).

133731137331 is a wasteful number, since it uses less digits than its factorization.

133731137331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14913 (or 14899 counting only the distinct ones).

The product of its digits is 35721, while the sum is 36.

The spelling of 133731137331 in words is "one hundred thirty-three billion, seven hundred thirty-one million, one hundred thirty-seven thousand, three hundred thirty-one".