100131132012000 has 768 divisors, whose sum is σ = 338061139992576. Its totient is φ = 25893457920000.

The previous prime is 100131132011993. The next prime is 100131132012029. The reversal of 100131132012000 is 210231131001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 96932363484 + ... + 96932364516.

It is an arithmetic number, because the mean of its divisors is an integer number (440183776032).

Almost surely, 2^{100131132012000} is an apocalyptic number.

100131132012000 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 100131132012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169030569996288).

100131132012000 is an abundant number, since it is smaller than the sum of its proper divisors (237930007980576).

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

100131132012000 is a wasteful number, since it uses less digits than its factorization.

100131132012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2082 counting only the distinct ones).

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

Adding to 100131132012000 its reverse (210231131001), we get a palindrome (100341363143001).

The spelling of 100131132012000 in words is "one hundred trillion, one hundred thirty-one billion, one hundred thirty-two million, twelve thousand".