13091300352 has 616 divisors, whose sum is σ = 45105399360. Its totient is φ = 3762339840.

The previous prime is 13091300273. The next prime is 13091300353. The reversal of 13091300352 is 25300319031.

It is a happy number.

13091300352 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 1 + 300 + 352 = 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 not an unprimeable number, because it can be changed into a prime (13091300353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 184384477 + ... + 184384547.

Almost surely, 2^13091300352 is an apocalyptic number.

13091300352 is a gapful number since it is divisible by the number (12) 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 13091300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22552699680).

13091300352 is an abundant number, since it is smaller than the sum of its proper divisors (32014099008).

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

13091300352 is an equidigital number, since it uses as much as digits as its factorization.

13091300352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

Adding to 13091300352 its reverse (25300319031), we get a palindrome (38391619383).

The spelling of 13091300352 in words is "thirteen billion, ninety-one million, three hundred thousand, three hundred fifty-two".