13242102660900 has 135 divisors (see below), whose sum is σ = 42926727054211. Its totient is φ = 3531140040960.

The previous prime is 13242102660881. The next prime is 13242102660937. The reversal of 13242102660900 is 906620124231.

It is a happy number.

The square root of 13242102660900 is 3638970.

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

13242102660900 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 21 + 0 + 26 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3477277644516 + 9764825016384 = 1864746^2 + 3124872^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 327487084 + ... + 327527516.

Almost surely, 2^{13242102660900} is an apocalyptic number.

13242102660900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13242102660900 is the 3638970-th square number.

It is an amenable number.

13242102660900 is an abundant number, since it is smaller than the sum of its proper divisors (29684624393311).

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

13242102660900 is an frugal number, since it uses more digits than its factorization.

13242102660900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80892 (or 40443 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 13242102660900 by its sum of digits (36), we get a square (476715695792400 = 21833820²).

13242102660900 divided by its sum of digits (36) gives a square (367836185025 = 606495²).

The spelling of 13242102660900 in words is "thirteen trillion, two hundred forty-two billion, one hundred two million, six hundred sixty thousand, nine hundred".