13192312320 has 320 divisors, whose sum is σ = 51123156480. Its totient is φ = 3197952000.

The previous prime is 13192312303. The next prime is 13192312321. The reversal of 13192312320 is 2321329131.

13192312320 is a `hidden beast` number, since 1 + 319 + 2 + 312 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13192312321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751645 + ... + 768995.

It is an arithmetic number, because the mean of its divisors is an integer number (159759864).

Almost surely, 2^13192312320 is an apocalyptic number.

13192312320 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 13192312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25561578240).

13192312320 is an abundant number, since it is smaller than the sum of its proper divisors (37930844160).

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

13192312320 is a wasteful number, since it uses less digits than its factorization.

13192312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17394 (or 17372 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 13192312320 in words is "thirteen billion, one hundred ninety-two million, three hundred twelve thousand, three hundred twenty".