13347180900 has 81 divisors (see below), whose sum is σ = 41846863513. Its totient is φ = 3558324000.

The previous prime is 13347180883. The next prime is 13347180907. The reversal of 13347180900 is 908174331.

It is a happy number.

The square root of 13347180900 is 115530.

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

13347180900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4804985124 + 8542195776 = 69318^2 + 92424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13347180907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3463975 + ... + 3467825.

Almost surely, 2^13347180900 is an apocalyptic number.

13347180900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13347180900 is the 115530-th square number.

It is an amenable number.

13347180900 is an abundant number, since it is smaller than the sum of its proper divisors (28499682613).

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

13347180900 is an equidigital number, since it uses as much as digits as its factorization.

13347180900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 13347180900 by its sum of digits (36), we get a square (480498512400 = 693180²).

13347180900 divided by its sum of digits (36) gives a square (370755025 = 19255²).

The spelling of 13347180900 in words is "thirteen billion, three hundred forty-seven million, one hundred eighty thousand, nine hundred".