13297181040900 has 405 divisors, whose sum is σ = 44573623281957. Its totient is φ = 3428905089600.

The previous prime is 13297181040883. The next prime is 13297181040947. The reversal of 13297181040900 is 904018179231.

The square root of 13297181040900 is 3646530.

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

13297181040900 is a `hidden beast` number, since 132 + 97 + 18 + 10 + 409 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4786985174724 + 8510195866176 = 2187918^2 + 2917224^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10173818047 + ... + 10173819353.

Almost surely, 2^{13297181040900} is an apocalyptic number.

13297181040900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13297181040900 is the 3646530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13297181040900

13297181040900 is an abundant number, since it is smaller than the sum of its proper divisors (31276442241057).

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

13297181040900 is an equidigital number, since it uses as much as digits as its factorization.

13297181040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 13297181040900 in words is "thirteen trillion, two hundred ninety-seven billion, one hundred eighty-one million, forty thousand, nine hundred".