13329874020100 has 81 divisors (see below), whose sum is σ = 31795461598453. Its totient is φ = 4847080876000.

The previous prime is 13329874020011. The next prime is 13329874020101. The reversal of 13329874020100 is 102047892331.

The square root of 13329874020100 is 3651010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4798754647236 + 8531119372864 = 2190606^2 + 2920808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13329874020101) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 401594505 + ... + 401627695.

Almost surely, 2^{13329874020100} is an apocalyptic number.

13329874020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13329874020100 is the 3651010-th square number.

It is an amenable number.

13329874020100 is an abundant number, since it is smaller than the sum of its proper divisors (18465587578353).

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

13329874020100 is an frugal number, since it uses more digits than its factorization.

13329874020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66418 (or 33209 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 13329874020100 in words is "thirteen trillion, three hundred twenty-nine billion, eight hundred seventy-four million, twenty thousand, one hundred".