100131012300 has 144 divisors (see below), whose sum is σ = 317944150272. Its totient is φ = 24128697600.

The previous prime is 100131012257. The next prime is 100131012361. The reversal of 100131012300 is 3210131001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 460254 + ... + 641946.

It is an arithmetic number, because the mean of its divisors is an integer number (2207945488).

Almost surely, 2^100131012300 is an apocalyptic number.

100131012300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158972075136).

100131012300 is an abundant number, since it is smaller than the sum of its proper divisors (217813137972).

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

100131012300 is a wasteful number, since it uses less digits than its factorization.

100131012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181888 (or 181881 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100131012300 its reverse (3210131001), we get a palindrome (103341143301).

The spelling of 100131012300 in words is "one hundred billion, one hundred thirty-one million, twelve thousand, three hundred".