133130131010031 has 16 divisors (see below), whose sum is σ = 179365910146304. Its totient is φ = 87824183226624.

The previous prime is 133130131010021. The next prime is 133130131010147. The reversal of 133130131010031 is 130010131031331.

It is not a de Polignac number, because 133130131010031 - 2⁵ = 133130131009999 is a prime.

It is a super-2 number, since 2×133130131010031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133130131010021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35322571 + ... + 38909436.

It is an arithmetic number, because the mean of its divisors is an integer number (11210369384144).

Almost surely, 2^{133130131010031} is an apocalyptic number.

133130131010031 is a deficient number, since it is larger than the sum of its proper divisors (46235779136273).

133130131010031 is an equidigital number, since it uses as much as digits as its factorization.

133130131010031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74238270.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 133130131010031 its reverse (130010131031331), we get a palindrome (263140262041362).

The spelling of 133130131010031 in words is "one hundred thirty-three trillion, one hundred thirty billion, one hundred thirty-one million, ten thousand, thirty-one".