13003102022100 has 72 divisors (see below), whose sum is σ = 37786598273760. Its totient is φ = 3452351959680.

The previous prime is 13003102021999. The next prime is 13003102022173. The reversal of 13003102022100 is 122020130031.

It is a super-2 number, since 2×13003102022100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13003102022100.

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 23 ways as a sum of consecutive naturals, for example, 94568142 + ... + 94705541.

Almost surely, 2^{13003102022100} is an apocalyptic number.

13003102022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13003102022100 is an abundant number, since it is smaller than the sum of its proper divisors (24783496251660).

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

13003102022100 is a wasteful number, since it uses less digits than its factorization.

13003102022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189273929 (or 189273922 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13003102022100 its reverse (122020130031), we get a palindrome (13125122152131).

The spelling of 13003102022100 in words is "thirteen trillion, three billion, one hundred two million, twenty-two thousand, one hundred".