13064113920 has 576 divisors, whose sum is σ = 50420934144. Its totient is φ = 2840002560.

The previous prime is 13064113901. The next prime is 13064113943. The reversal of 13064113920 is 2931146031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 20317119 + ... + 20317761.

It is an arithmetic number, because the mean of its divisors is an integer number (87536344).

Almost surely, 2^13064113920 is an apocalyptic number.

13064113920 is a gapful number since it is divisible by the number (10) 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 13064113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25210467072).

13064113920 is an abundant number, since it is smaller than the sum of its proper divisors (37356820224).

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

13064113920 is a wasteful number, since it uses less digits than its factorization.

13064113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

Adding to 13064113920 its reverse (2931146031), we get a palindrome (15995259951).

The spelling of 13064113920 in words is "thirteen billion, sixty-four million, one hundred thirteen thousand, nine hundred twenty".