100131004000 has 96 divisors (see below), whose sum is σ = 251743748256. Its totient is φ = 39120883200.

The previous prime is 100131003991. The next prime is 100131004007. The reversal of 100131004000 is 400131001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131004007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119079 + ... + 463078.

It is an arithmetic number, because the mean of its divisors is an integer number (2622330711).

Almost surely, 2^100131004000 is an apocalyptic number.

100131004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131004000 is an abundant number, since it is smaller than the sum of its proper divisors (151612744256).

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

100131004000 is an equidigital number, since it uses as much as digits as its factorization.

100131004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582225 (or 582207 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100131004000 its reverse (400131001), we get a palindrome (100531135001).

The spelling of 100131004000 in words is "one hundred billion, one hundred thirty-one million, four thousand".