13319121600 has 588 divisors, whose sum is σ = 51809817640. Its totient is φ = 3359232000.

The previous prime is 13319121523. The next prime is 13319121623. The reversal of 13319121600 is 612191331.

13319121600 is a `hidden beast` number, since 1 + 3 + 31 + 9 + 1 + 21 + 600 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22161300 + ... + 22161900.

Almost surely, 2^13319121600 is an apocalyptic number.

13319121600 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 13319121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25904908820).

13319121600 is an abundant number, since it is smaller than the sum of its proper divisors (38490696040).

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

13319121600 is an equidigital number, since it uses as much as digits as its factorization.

13319121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 13319121600 in words is "thirteen billion, three hundred nineteen million, one hundred twenty-one thousand, six hundred".