131333330303001 has 12 divisors (see below), whose sum is σ = 189822190102740. Its totient is φ = 87500865484800.

The previous prime is 131333330302943. The next prime is 131333330303003. The reversal of 131333330303001 is 100303033333131.

131333330303001 is a `hidden beast` number, since 13 + 13 + 3 + 3 + 330 + 3 + 0 + 300 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65110762127376 + 66222568175625 = 8069124^2 + 8137725^2 .

It is not a de Polignac number, because 131333330303001 - 2¹⁷ = 131333330171929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131333330303003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4557322336 + ... + 4557351153.

It is an arithmetic number, because the mean of its divisors is an integer number (15818515841895).

Almost surely, 2^{131333330303001} is an apocalyptic number.

It is an amenable number.

131333330303001 is a deficient number, since it is larger than the sum of its proper divisors (58488859799739).

131333330303001 is a wasteful number, since it uses less digits than its factorization.

131333330303001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9114675096 (or 9114675093 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 27.

Adding to 131333330303001 its reverse (100303033333131), we get a palindrome (231636363636132).

The spelling of 131333330303001 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, three hundred thirty million, three hundred three thousand, one".