13307929600 has 297 divisors, whose sum is σ = 38749445937. Its totient is φ = 4518420480.

The previous prime is 13307929597. The next prime is 13307929603. The reversal of 13307929600 is 692970331.

The square root of 13307929600 is 115360.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (13307929597) and next prime (13307929603).

It can be written as a sum of positive squares in only one way, i.e., 4790854656 + 8517074944 = 69216^2 + 92288^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13307929603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129203149 + ... + 129203251.

Almost surely, 2^13307929600 is an apocalyptic number.

13307929600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13307929600 is the 115360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13307929600

13307929600 is an abundant number, since it is smaller than the sum of its proper divisors (25441516337).

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

13307929600 is an equidigital number, since it uses as much as digits as its factorization.

13307929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The spelling of 13307929600 in words is "thirteen billion, three hundred seven million, nine hundred twenty-nine thousand, six hundred".