131330031200001 has 48 divisors (see below), whose sum is σ = 193108441468800. Its totient is φ = 85987935500544.

The previous prime is 131330031199979. The next prime is 131330031200009. The reversal of 131330031200001 is 100002130033131.

It is a happy number.

131330031200001 is a `hidden beast` number, since 1 + 313 + 300 + 31 + 20 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 131330031200001 - 2¹³ = 131330031191809 is a prime.

It is a super-2 number, since 2×131330031200001² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131330031200009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296577165 + ... + 297019653.

It is an arithmetic number, because the mean of its divisors is an integer number (4023092530600).

Almost surely, 2^{131330031200001} is an apocalyptic number.

It is an amenable number.

131330031200001 is a deficient number, since it is larger than the sum of its proper divisors (61778410268799).

131330031200001 is a wasteful number, since it uses less digits than its factorization.

131330031200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444038 (or 444035 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131330031200001 its reverse (100002130033131), we get a palindrome (231332161233132).

The spelling of 131330031200001 in words is "one hundred thirty-one trillion, three hundred thirty billion, thirty-one million, two hundred thousand, one".