13201033302100 has 108 divisors (see below), whose sum is σ = 34472255314140. Its totient is φ = 4369997184000.

The previous prime is 13201033302059. The next prime is 13201033302137. The reversal of 13201033302100 is 120333010231.

It can be written as a sum of positive squares in 6 ways, for example, as 37618929936 + 13163414372164 = 193956^2 + 3628142^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46307701 + ... + 46591900.

It is an arithmetic number, because the mean of its divisors is an integer number (319187549205).

Almost surely, 2^{13201033302100} is an apocalyptic number.

13201033302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201033302100 is an abundant number, since it is smaller than the sum of its proper divisors (21271222012040).

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

13201033302100 is a wasteful number, since it uses less digits than its factorization.

13201033302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92899658 (or 92899644 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13201033302100 its reverse (120333010231), we get a palindrome (13321366312331).

The spelling of 13201033302100 in words is "thirteen trillion, two hundred one billion, thirty-three million, three hundred two thousand, one hundred".