133013001000131 has 6 divisors (see below), whose sum is σ = 154729409326740. Its totient is φ = 114011143714356.

The previous prime is 133013001000091. The next prime is 133013001000193. The reversal of 133013001000131 is 131000100310331.

It is not a de Polignac number, because 133013001000131 - 2³⁴ = 132995821130947 is a prime.

It is a super-2 number, since 2×133013001000131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133013001090131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1357275520361 + ... + 1357275520458.

It is an arithmetic number, because the mean of its divisors is an integer number (25788234887790).

Almost surely, 2^{133013001000131} is an apocalyptic number.

133013001000131 is a deficient number, since it is larger than the sum of its proper divisors (21716408326609).

133013001000131 is an equidigital number, since it uses as much as digits as its factorization.

133013001000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714551040833 (or 2714551040826 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 133013001000131 its reverse (131000100310331), we get a palindrome (264013101310462).

The spelling of 133013001000131 in words is "one hundred thirty-three trillion, thirteen billion, one million, one hundred thirty-one", and thus it is an aban number.