13105165222100 has 72 divisors (see below), whose sum is σ = 32514661636800. Its totient is φ = 4491284497920.

The previous prime is 13105165222081. The next prime is 13105165222103. The reversal of 13105165222100 is 122256150131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105165222103) 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 23 ways as a sum of consecutive naturals, for example, 2345525 + ... + 5631324.

Almost surely, 2^{13105165222100} is an apocalyptic number.

13105165222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105165222100 is an abundant number, since it is smaller than the sum of its proper divisors (19409496414700).

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

13105165222100 is a wasteful number, since it uses less digits than its factorization.

13105165222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7979217 (or 7979210 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 13105165222100 in words is "thirteen trillion, one hundred five billion, one hundred sixty-five million, two hundred twenty-two thousand, one hundred".