13105323552500 has 120 divisors (see below), whose sum is σ = 28923663664896. Its totient is φ = 5193882000000.

The previous prime is 13105323552481. The next prime is 13105323552521. The reversal of 13105323552500 is 525532350131.

It is a super-2 number, since 2×13105323552500² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122574065 + ... + 122680935.

Almost surely, 2^{13105323552500} is an apocalyptic number.

13105323552500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105323552500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14461831832448).

13105323552500 is an abundant number, since it is smaller than the sum of its proper divisors (15818340112396).

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

13105323552500 is a wasteful number, since it uses less digits than its factorization.

13105323552500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107347 (or 107330 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 35.

The spelling of 13105323552500 in words is "thirteen trillion, one hundred five billion, three hundred twenty-three million, five hundred fifty-two thousand, five hundred".