13021751808 has 480 divisors, whose sum is σ = 42915128256. Its totient is φ = 3917611008.

The previous prime is 13021751807. The next prime is 13021751819. The reversal of 13021751808 is 80815712031.

13021751808 is a `hidden beast` number, since 1 + 302 + 175 + 180 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13021751807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134244816 + ... + 134244912.

Almost surely, 2^13021751808 is an apocalyptic number.

13021751808 is a gapful number since it is divisible by the number (18) 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 13021751808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21457564128).

13021751808 is an abundant number, since it is smaller than the sum of its proper divisors (29893376448).

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

13021751808 is an frugal number, since it uses more digits than its factorization.

13021751808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 13021751808 in words is "thirteen billion, twenty-one million, seven hundred fifty-one thousand, eight hundred eight".