13515100560234 has 192 divisors, whose sum is σ = 37571216836608. Its totient is φ = 3415286592000.

The previous prime is 13515100560233. The next prime is 13515100560331. The reversal of 13515100560234 is 43206500151531.

13515100560234 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 5 + 10 + 0 + 5 + 602 + 34 = 666.

13515100560234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13515100560233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3810952 + ... + 6446204.

It is an arithmetic number, because the mean of its divisors is an integer number (195683421024).

Almost surely, 2^{13515100560234} is an apocalyptic number.

13515100560234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13515100560234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18785608418304).

13515100560234 is an abundant number, since it is smaller than the sum of its proper divisors (24056116276374).

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

13515100560234 is a wasteful number, since it uses less digits than its factorization.

13515100560234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635413 (or 2635410 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 13515100560234 in words is "thirteen trillion, five hundred fifteen billion, one hundred million, five hundred sixty thousand, two hundred thirty-four".