13105332252105 has 32 divisors (see below), whose sum is σ = 21022875648000. Its totient is φ = 6971417349312.

The previous prime is 13105332252073. The next prime is 13105332252151. The reversal of 13105332252105 is 50125223350131.

It is not a de Polignac number, because 13105332252105 - 2⁵ = 13105332252073 is a prime.

It is a super-2 number, since 2×13105332252105² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9095776 + ... + 10437614.

It is an arithmetic number, because the mean of its divisors is an integer number (656964864000).

Almost surely, 2^{13105332252105} is an apocalyptic number.

13105332252105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13105332252105 is a deficient number, since it is larger than the sum of its proper divisors (7917543395895).

13105332252105 is a wasteful number, since it uses less digits than its factorization.

13105332252105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343533.

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 13105332252105 in words is "thirteen trillion, one hundred five billion, three hundred thirty-two million, two hundred fifty-two thousand, one hundred five".