131413123442300 has 144 divisors (see below), whose sum is σ = 345082058834688. Its totient is φ = 42404761267200.

The previous prime is 131413123442243. The next prime is 131413123442323. The reversal of 131413123442300 is 3244321314131.

It is a super-2 number, since 2×131413123442300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060311335 + ... + 1060435265.

It is an arithmetic number, because the mean of its divisors is an integer number (2396403186352).

Almost surely, 2^{131413123442300} is an apocalyptic number.

131413123442300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413123442300 is an abundant number, since it is smaller than the sum of its proper divisors (213668935392388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131413123442300 is a wasteful number, since it uses less digits than its factorization.

131413123442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213076 (or 213069 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131413123442300 its reverse (3244321314131), we get a palindrome (134657444756431).

The spelling of 131413123442300 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred twenty-three million, four hundred forty-two thousand, three hundred".