100131112320 has 128 divisors (see below), whose sum is σ = 320321852640. Its totient is φ = 26605092864.

The previous prime is 100131112313. The next prime is 100131112337. The reversal of 100131112320 is 23211131001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100131112320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437704 + ... + 625976.

Almost surely, 2^100131112320 is an apocalyptic number.

100131112320 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 100131112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160160926320).

100131112320 is an abundant number, since it is smaller than the sum of its proper divisors (220190740320).

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

100131112320 is a wasteful number, since it uses less digits than its factorization.

100131112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188572 (or 188560 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100131112320 its reverse (23211131001), we get a palindrome (123342243321).

The spelling of 100131112320 in words is "one hundred billion, one hundred thirty-one million, one hundred twelve thousand, three hundred twenty".