100131322001000 has 128 divisors (see below), whose sum is σ = 247427255836800. Its totient is φ = 37823270284800.

The previous prime is 100131322000993. The next prime is 100131322001021. The reversal of 100131322001000 is 100223131001.

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 31 ways as a sum of consecutive naturals, for example, 2471642 + ... + 14365641.

It is an arithmetic number, because the mean of its divisors is an integer number (1933025436225).

Almost surely, 2^{100131322001000} is an apocalyptic number.

100131322001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131322001000 is an abundant number, since it is smaller than the sum of its proper divisors (147295933835800).

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

100131322001000 is a wasteful number, since it uses less digits than its factorization.

100131322001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16837636 (or 16837622 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100131322001000 its reverse (100223131001), we get a palindrome (100231545132001).

The spelling of 100131322001000 in words is "one hundred trillion, one hundred thirty-one billion, three hundred twenty-two million, one thousand".