13149834112900 has 243 divisors, whose sum is σ = 30801874968109. Its totient is φ = 4871850229760.

The previous prime is 13149834112897. The next prime is 13149834112913. The reversal of 13149834112900 is 921143894131.

The square root of 13149834112900 is 3626270.

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 10833062724 + 13139001050176 = 104082^2 + 3624776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51166669572 + ... + 51166669828.

Almost surely, 2^{13149834112900} is an apocalyptic number.

13149834112900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13149834112900 is the 3626270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13149834112900

13149834112900 is an abundant number, since it is smaller than the sum of its proper divisors (17652040855209).

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

13149834112900 is an equidigital number, since it uses as much as digits as its factorization.

13149834112900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 13149834112900 in words is "thirteen trillion, one hundred forty-nine billion, eight hundred thirty-four million, one hundred twelve thousand, nine hundred".