133137731331 has 24 divisors (see below), whose sum is σ = 215462870064. Its totient is φ = 78508733760.

The previous prime is 133137731291. The next prime is 133137731387.

133137731331 is a `hidden beast` number, since 1 + 3 + 313 + 7 + 7 + 3 + 1 + 331 = 666.

133137731331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133137731331 - 2⁷ = 133137731203 is a prime.

It is a super-2 number, since 2×133137731331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133137730331) 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, 18169656 + ... + 18176981.

It is an arithmetic number, because the mean of its divisors is an integer number (8977619586).

Almost surely, 2^133137731331 is an apocalyptic number.

133137731331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133137731331 is a deficient number, since it is larger than the sum of its proper divisors (82325138733).

133137731331 is a wasteful number, since it uses less digits than its factorization.

133137731331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36346691 (or 36346688 counting only the distinct ones).

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

It can be divided in two parts, 133137 and 731331, that added together give a palindrome (864468).

The spelling of 133137731331 in words is "one hundred thirty-three billion, one hundred thirty-seven million, seven hundred thirty-one thousand, three hundred thirty-one".