13105332252012 has 192 divisors, whose sum is σ = 41062123081728. Its totient is φ = 3141765792000.

The previous prime is 13105332251989. The next prime is 13105332252059. The reversal of 13105332252012 is 21025223350131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109141087 + ... + 109261097.

It is an arithmetic number, because the mean of its divisors is an integer number (213865224384).

Almost surely, 2^{13105332252012} is an apocalyptic number.

13105332252012 is a gapful number since it is divisible by the number (12) 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 13105332252012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20531061540864).

13105332252012 is an abundant number, since it is smaller than the sum of its proper divisors (27956790829716).

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

13105332252012 is a wasteful number, since it uses less digits than its factorization.

13105332252012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129140 (or 129138 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 13105332252012 in words is "thirteen trillion, one hundred five billion, three hundred thirty-two million, two hundred fifty-two thousand, twelve".