13052916021024 has 384 divisors, whose sum is σ = 43987189397760. Its totient is φ = 3721730457600.

The previous prime is 13052916020983. The next prime is 13052916021049. The reversal of 13052916021024 is 42012061925031.

13052916021024 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 29 + 1 + 602 + 1 + 0 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13052916021024.

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, 736902792 + ... + 736920504.

It is an arithmetic number, because the mean of its divisors is an integer number (114549972390).

Almost surely, 2^{13052916021024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13052916021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21993594698880).

13052916021024 is an abundant number, since it is smaller than the sum of its proper divisors (30934273376736).

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

13052916021024 is a wasteful number, since it uses less digits than its factorization.

13052916021024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22321 (or 22307 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 13052916021024 its reverse (42012061925031), we get a palindrome (55064977946055).

The spelling of 13052916021024 in words is "thirteen trillion, fifty-two billion, nine hundred sixteen million, twenty-one thousand, twenty-four".