131213131100033 has 16 divisors (see below), whose sum is σ = 133081748448000. Its totient is φ = 129349724055552.

The previous prime is 131213131099979. The next prime is 131213131100039. The reversal of 131213131100033 is 330001131312131.

It is a cyclic number.

It is not a de Polignac number, because 131213131100033 - 2⁶ = 131213131099969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131213131099981 and 131213131100008.

It is not an unprimeable number, because it can be changed into a prime (131213131100039) 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 15 ways as a sum of consecutive naturals, for example, 1539349091 + ... + 1539434327.

It is an arithmetic number, because the mean of its divisors is an integer number (8317609278000).

Almost surely, 2^{131213131100033} is an apocalyptic number.

It is an amenable number.

131213131100033 is a deficient number, since it is larger than the sum of its proper divisors (1868617347967).

131213131100033 is an equidigital number, since it uses as much as digits as its factorization.

131213131100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115544.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 131213131100033 its reverse (330001131312131), we get a palindrome (461214262412164).

The spelling of 131213131100033 in words is "one hundred thirty-one trillion, two hundred thirteen billion, one hundred thirty-one million, one hundred thousand, thirty-three".