131301112310193 has 32 divisors (see below), whose sum is σ = 202489943040000. Its totient is φ = 74124698651136.

The previous prime is 131301112310191. The next prime is 131301112310237. The reversal of 131301112310193 is 391013211103131.

It is not a de Polignac number, because 131301112310193 - 2¹ = 131301112310191 is a prime.

It is a super-3 number, since 3×131301112310193³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131301112310193.

It is not an unprimeable number, because it can be changed into a prime (131301112310191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439869408 + ... + 440167806.

It is an arithmetic number, because the mean of its divisors is an integer number (6327810720000).

Almost surely, 2^{131301112310193} is an apocalyptic number.

It is an amenable number.

131301112310193 is a deficient number, since it is larger than the sum of its proper divisors (71188830729807).

131301112310193 is a wasteful number, since it uses less digits than its factorization.

131301112310193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550941.

The product of its (nonzero) digits is 1458, while the sum is 30.

The spelling of 131301112310193 in words is "one hundred thirty-one trillion, three hundred one billion, one hundred twelve million, three hundred ten thousand, one hundred ninety-three".