13324084900 has 243 divisors, whose sum is σ = 36100769481. Its totient is φ = 4255211520.

The previous prime is 13324084889. The next prime is 13324084901. The reversal of 13324084900 is 948042331.

The square root of 13324084900 is 115430.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5305956964 + 8018127936 = 72842^2 + 89544^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (13324084901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 137361652 + ... + 137361748.

Almost surely, 2^13324084900 is an apocalyptic number.

13324084900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13324084900 is the 115430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13324084900

13324084900 is an abundant number, since it is smaller than the sum of its proper divisors (22776684581).

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

13324084900 is a wasteful number, since it uses less digits than its factorization.

13324084900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Multiplying 13324084900 by its product of nonzero digits (20736), we get a square (276288224486400 = 16621920²).

The spelling of 13324084900 in words is "thirteen billion, three hundred twenty-four million, eighty-four thousand, nine hundred".