13125413434221 has 96 divisors (see below), whose sum is σ = 21923712720000. Its totient is φ = 7491040972800.

The previous prime is 13125413434151. The next prime is 13125413434307. The reversal of 13125413434221 is 12243431452131.

13125413434221 is a `hidden beast` number, since 1 + 3 + 1 + 254 + 1 + 343 + 42 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-13125413434221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125413474221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 476598070 + ... + 476625608.

It is an arithmetic number, because the mean of its divisors is an integer number (228372007500).

Almost surely, 2^{13125413434221} is an apocalyptic number.

13125413434221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13125413434221 is a deficient number, since it is larger than the sum of its proper divisors (8798299285779).

13125413434221 is a wasteful number, since it uses less digits than its factorization.

13125413434221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31675 (or 31672 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 13125413434221 its reverse (12243431452131), we get a palindrome (25368844886352).

The spelling of 13125413434221 in words is "thirteen trillion, one hundred twenty-five billion, four hundred thirteen million, four hundred thirty-four thousand, two hundred twenty-one".