131013210300300 has 108 divisors (see below), whose sum is σ = 415267715149560. Its totient is φ = 34544307114240.

The previous prime is 131013210300281. The next prime is 131013210300337. The reversal of 131013210300300 is 3003012310131.

It is a happy number.

131013210300300 is a `hidden beast` number, since 1 + 3 + 10 + 1 + 321 + 0 + 30 + 0 + 300 = 666.

It is a super-2 number, since 2×131013210300300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 817730202 + ... + 817890401.

It is an arithmetic number, because the mean of its divisors is an integer number (3845071436570).

Almost surely, 2^{131013210300300} is an apocalyptic number.

131013210300300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131013210300300 is an abundant number, since it is smaller than the sum of its proper divisors (284254504849260).

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

131013210300300 is a wasteful number, since it uses less digits than its factorization.

131013210300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635620712 (or 1635620702 counting only the distinct ones).

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

Adding to 131013210300300 its reverse (3003012310131), we get a palindrome (134016222610431).

The spelling of 131013210300300 in words is "one hundred thirty-one trillion, thirteen billion, two hundred ten million, three hundred thousand, three hundred".