100013332213120 has 64 divisors (see below), whose sum is σ = 239095582700400. Its totient is φ = 40005130364928.

The previous prime is 100013332213073. The next prime is 100013332213147. The reversal of 100013332213120 is 21312233310001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 100013332213091 and 100013332213100.

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 7 ways as a sum of consecutive naturals, for example, 244185142 + ... + 244594378.

Almost surely, 2^{100013332213120} is an apocalyptic number.

100013332213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100013332213120 is an abundant number, since it is smaller than the sum of its proper divisors (139082250487280).

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

100013332213120 is an equidigital number, since it uses as much as digits as its factorization.

100013332213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791115 (or 791103 counting only the distinct ones).

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

Adding to 100013332213120 its reverse (21312233310001), we get a palindrome (121325565523121).

The spelling of 100013332213120 in words is "one hundred trillion, thirteen billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".