13331011600 has 135 divisors (see below), whose sum is σ = 33614731549. Its totient is φ = 5080240000.

The previous prime is 13331011559. The next prime is 13331011621. The reversal of 13331011600 is 611013331.

The square root of 13331011600 is 115460.

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

It can be written as a sum of positive squares in only one way, i.e., 4799164176 + 8531847424 = 69276^2 + 92368^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 53111475 + ... + 53111725.

Almost surely, 2^13331011600 is an apocalyptic number.

13331011600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13331011600 is the 115460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331011600

13331011600 is an abundant number, since it is smaller than the sum of its proper divisors (20283719949).

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

13331011600 is an equidigital number, since it uses as much as digits as its factorization.

13331011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13331011600 its reverse (611013331), we get a palindrome (13942024931).

The spelling of 13331011600 in words is "thirteen billion, three hundred thirty-one million, eleven thousand, six hundred".