133130404031331 has 32 divisors (see below), whose sum is σ = 209446484852736. Its totient is φ = 73607470020000.

The previous prime is 133130404031321. The next prime is 133130404031341.

133130404031331 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (133130404031321) and next prime (133130404031341).

It is not a de Polignac number, because 133130404031331 - 2⁶ = 133130404031267 is a prime.

It is a super-2 number, since 2×133130404031331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133130404031321) 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, 14415465 + ... + 21773066.

It is an arithmetic number, because the mean of its divisors is an integer number (6545202651648).

Almost surely, 2^{133130404031331} is an apocalyptic number.

133130404031331 is a deficient number, since it is larger than the sum of its proper divisors (76316080821405).

133130404031331 is a wasteful number, since it uses less digits than its factorization.

133130404031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36194223.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 13313040 and 4031331, that added together give a palindrome (17344371).

The spelling of 133130404031331 in words is "one hundred thirty-three trillion, one hundred thirty billion, four hundred four million, thirty-one thousand, three hundred thirty-one".