13436076017130 has 128 divisors (see below), whose sum is σ = 35012756072448. Its totient is φ = 3280246271232.

The previous prime is 13436076017081. The next prime is 13436076017131. The reversal of 13436076017130 is 3171067063431.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13436076017131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22994857 + ... + 23571923.

It is an arithmetic number, because the mean of its divisors is an integer number (273537156816).

Almost surely, 2^{13436076017130} is an apocalyptic number.

13436076017130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13436076017130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17506378036224).

13436076017130 is an abundant number, since it is smaller than the sum of its proper divisors (21576680055318).

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

13436076017130 is a wasteful number, since it uses less digits than its factorization.

13436076017130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577580.

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 13436076017130 in words is "thirteen trillion, four hundred thirty-six billion, seventy-six million, seventeen thousand, one hundred thirty".