13036134384 has 640 divisors, whose sum is σ = 50130124800. Its totient is φ = 3146480640.

The previous prime is 13036134313. The next prime is 13036134421. The reversal of 13036134384 is 48343163031.

13036134384 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 613 + 4 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23154487 + ... + 23155049.

It is an arithmetic number, because the mean of its divisors is an integer number (78328320).

Almost surely, 2^13036134384 is an apocalyptic number.

13036134384 is a gapful number since it is divisible by the number (14) 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 13036134384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25065062400).

13036134384 is an abundant number, since it is smaller than the sum of its proper divisors (37093990416).

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

13036134384 is a wasteful number, since it uses less digits than its factorization.

13036134384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13036134384 in words is "thirteen billion, thirty-six million, one hundred thirty-four thousand, three hundred eighty-four".