100000131200 has 192 divisors, whose sum is σ = 260871324000. Its totient is φ = 37772697600.

The previous prime is 100000131197. The next prime is 100000131241. The reversal of 100000131200 is 2131000001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20122316 + ... + 20127284.

Almost surely, 2^100000131200 is an apocalyptic number.

100000131200 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 100000131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130435662000).

100000131200 is an abundant number, since it is smaller than the sum of its proper divisors (160871192800).

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

100000131200 is a wasteful number, since it uses less digits than its factorization.

100000131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100000131200 its reverse (2131000001), we get a palindrome (102131131201).

The spelling of 100000131200 in words is "one hundred billion, one hundred thirty-one thousand, two hundred".