13117881600 has 324 divisors, whose sum is σ = 47795401836. Its totient is φ = 3431301120.

The previous prime is 13117881529. The next prime is 13117881613. The reversal of 13117881600 is 618871131.

It is a happy number.

13117881600 is a `hidden beast` number, since 1 + 31 + 17 + 8 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1218816 + 13116662784 = 1104^2 + 114528^2 .

It is a super-4 number, since 4×13117881600⁴ (a number of 42 digits) contains 4444 as substring.

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 35 ways as a sum of consecutive naturals, for example, 3050652 + ... + 3054948.

Almost surely, 2^13117881600 is an apocalyptic number.

13117881600 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 13117881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23897700918).

13117881600 is an abundant number, since it is smaller than the sum of its proper divisors (34677520236).

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

13117881600 is a wasteful number, since it uses less digits than its factorization.

13117881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 13117881600 in words is "thirteen billion, one hundred seventeen million, eight hundred eighty-one thousand, six hundred".