100131031021000 has 192 divisors, whose sum is σ = 277180435209600. Its totient is φ = 33748762992000.

The previous prime is 100131031020989. The next prime is 100131031021001. The reversal of 100131031021000 is 120130131001.

100131031021000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100131031021001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14426716 + ... + 20208715.

It is an arithmetic number, because the mean of its divisors is an integer number (1443648100050).

Almost surely, 2^{100131031021000} is an apocalyptic number.

100131031021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131031021000 is an abundant number, since it is smaller than the sum of its proper divisors (177049404188600).

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

100131031021000 is a wasteful number, since it uses less digits than its factorization.

100131031021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34635525 (or 34635504 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100131031021000 its reverse (120130131001), we get a palindrome (100251161152001).

The spelling of 100131031021000 in words is "one hundred trillion, one hundred thirty-one billion, thirty-one million, twenty-one thousand".