13312200102129 has 20 divisors (see below), whose sum is σ = 20371153548900. Its totient is φ = 8658341527680.

The previous prime is 13312200102109. The next prime is 13312200102133. The reversal of 13312200102129 is 92120100221331.

13312200102129 is a `hidden beast` number, since 1 + 331 + 2 + 200 + 1 + 0 + 2 + 129 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1149355526400 + 12162844575729 = 1072080^2 + 3487527^2 .

It is not a de Polignac number, because 13312200102129 - 2⁸ = 13312200101873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13312200102109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2004242404 + ... + 2004249045.

It is an arithmetic number, because the mean of its divisors is an integer number (1018557677445).

Almost surely, 2^{13312200102129} is an apocalyptic number.

It is an amenable number.

13312200102129 is a deficient number, since it is larger than the sum of its proper divisors (7058953446771).

13312200102129 is an equidigital number, since it uses as much as digits as its factorization.

13312200102129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008491502 (or 4008491493 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13312200102129 in words is "thirteen trillion, three hundred twelve billion, two hundred million, one hundred two thousand, one hundred twenty-nine".