225312132013 has 2 divisors, whose sum is σ = 225312132014. Its totient is φ = 225312132012.

The previous prime is 225312132011. The next prime is 225312132037. The reversal of 225312132013 is 310231213522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165422785284 + 59889346729 = 406722^2 + 244723^2 .

It is a cyclic number.

It is not a de Polignac number, because 225312132013 - 2¹ = 225312132011 is a prime.

Together with 225312132011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225312132011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112656066006 + 112656066007.

It is an arithmetic number, because the mean of its divisors is an integer number (112656066007).

Almost surely, 2^225312132013 is an apocalyptic number.

It is an amenable number.

225312132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

225312132013 is an equidigital number, since it uses as much as digits as its factorization.

225312132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 225312132013 its reverse (310231213522), we get a palindrome (535543345535).

The spelling of 225312132013 in words is "two hundred twenty-five billion, three hundred twelve million, one hundred thirty-two thousand, thirteen".