13314431322225 has 216 divisors, whose sum is σ = 27975053089152. Its totient is φ = 6000307372800.

The previous prime is 13314431322223. The next prime is 13314431322281. The reversal of 13314431322225 is 52222313441331.

13314431322225 is a `hidden beast` number, since 1 + 3 + 314 + 4 + 313 + 2 + 2 + 2 + 25 = 666.

It is not a de Polignac number, because 13314431322225 - 2¹ = 13314431322223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13314431322225.

It is not an unprimeable number, because it can be changed into a prime (13314431322223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 47213592 + ... + 47494758.

It is an arithmetic number, because the mean of its divisors is an integer number (129514134672).

Almost surely, 2^{13314431322225} is an apocalyptic number.

13314431322225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13314431322225 is an abundant number, since it is smaller than the sum of its proper divisors (14660621766927).

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

13314431322225 is a wasteful number, since it uses less digits than its factorization.

13314431322225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281285 (or 281258 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 13314431322225 its reverse (52222313441331), we get a palindrome (65536744763556).

The spelling of 13314431322225 in words is "thirteen trillion, three hundred fourteen billion, four hundred thirty-one million, three hundred twenty-two thousand, two hundred twenty-five".