13121223435225 has 72 divisors (see below), whose sum is σ = 24314121575640. Its totient is φ = 6756077475840.

The previous prime is 13121223435217. The next prime is 13121223435241. The reversal of 13121223435225 is 52253432212131.

13121223435225 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 122 + 3 + 4 + 3 + 522 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5522142805776 + 7599080629449 = 2349924^2 + 2756643^2 .

It is not a de Polignac number, because 13121223435225 - 2³ = 13121223435217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13121223435225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78954319 + ... + 79120331.

It is an arithmetic number, because the mean of its divisors is an integer number (337696132995).

Almost surely, 2^{13121223435225} is an apocalyptic number.

13121223435225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13121223435225 is a deficient number, since it is larger than the sum of its proper divisors (11192898140415).

13121223435225 is a wasteful number, since it uses less digits than its factorization.

13121223435225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178171 (or 178163 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 13121223435225 its reverse (52253432212131), we get a palindrome (65374655647356).

The spelling of 13121223435225 in words is "thirteen trillion, one hundred twenty-one billion, two hundred twenty-three million, four hundred thirty-five thousand, two hundred twenty-five".