100033131212320 has 48 divisors (see below), whose sum is σ = 236328885030168. Its totient is φ = 40013148774400.

The previous prime is 100033131212317. The next prime is 100033131212351. The reversal of 100033131212320 is 23212131330001.

It can be written as a sum of positive squares in 4 ways, for example, as 60837067235344 + 39196063976976 = 7799812^2 + 6260676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100033131212291 and 100033131212300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100846770 + ... + 101833870.

Almost surely, 2^{100033131212320} is an apocalyptic number.

100033131212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100033131212320 is an abundant number, since it is smaller than the sum of its proper divisors (136295753817848).

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

100033131212320 is an equidigital number, since it uses as much as digits as its factorization.

100033131212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620493 (or 1620485 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 100033131212320 its reverse (23212131330001), we get a palindrome (123245262542321).

The spelling of 100033131212320 in words is "one hundred trillion, thirty-three billion, one hundred thirty-one million, two hundred twelve thousand, three hundred twenty".