13105102153000 has 128 divisors (see below), whose sum is σ = 36027117584640. Its totient is φ = 4398915360000.

The previous prime is 13105102152943. The next prime is 13105102153007. The reversal of 13105102153000 is 35120150131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13105102153007) 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 31 ways as a sum of consecutive naturals, for example, 45679036 + ... + 45965035.

It is an arithmetic number, because the mean of its divisors is an integer number (281461856130).

Almost surely, 2^{13105102153000} is an apocalyptic number.

13105102153000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105102153000 is an abundant number, since it is smaller than the sum of its proper divisors (22922015431640).

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

13105102153000 is a wasteful number, since it uses less digits than its factorization.

13105102153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91644116 (or 91644102 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The spelling of 13105102153000 in words is "thirteen trillion, one hundred five billion, one hundred two million, one hundred fifty-three thousand".