131245830100 has 72 divisors (see below), whose sum is σ = 355079648448. Its totient is φ = 40907788800.

The previous prime is 131245830077. The next prime is 131245830103. The reversal of 131245830100 is 1038542131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131245830103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8514757 + ... + 8530156.

It is an arithmetic number, because the mean of its divisors is an integer number (4931661784).

Almost surely, 2^131245830100 is an apocalyptic number.

131245830100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131245830100 is an abundant number, since it is smaller than the sum of its proper divisors (223833818348).

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

131245830100 is a wasteful number, since it uses less digits than its factorization.

131245830100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17044945 (or 17044938 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 131245830100 in words is "one hundred thirty-one billion, two hundred forty-five million, eight hundred thirty thousand, one hundred".