133136404631331 has 32 divisors (see below), whose sum is σ = 187905431508480. Its totient is φ = 83679849394944.

The previous prime is 133136404631273. The next prime is 133136404631359.

133136404631331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133136404631331 - 2⁶ = 133136404631267 is a prime.

It is a super-2 number, since 2×133136404631331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133136404632331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32248765 + ... + 36142158.

It is an arithmetic number, because the mean of its divisors is an integer number (5872044734640).

Almost surely, 2^{133136404631331} is an apocalyptic number.

133136404631331 is a deficient number, since it is larger than the sum of its proper divisors (54769026877149).

133136404631331 is a wasteful number, since it uses less digits than its factorization.

133136404631331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68391355.

The product of its (nonzero) digits is 419904, while the sum is 42.

It can be divided in two parts, 13313640 and 4631331, that added together give a palindrome (17944971).

The spelling of 133136404631331 in words is "one hundred thirty-three trillion, one hundred thirty-six billion, four hundred four million, six hundred thirty-one thousand, three hundred thirty-one".