32121223320013 has 2 divisors, whose sum is σ = 32121223320014. Its totient is φ = 32121223320012.

The previous prime is 32121223320001. The next prime is 32121223320023. The reversal of 32121223320013 is 31002332212123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19414087324164 + 12707135995849 = 4406142^2 + 3564707^2 .

It is an emirp because it is prime and its reverse (31002332212123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32121223320013 - 2⁹ = 32121223319501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32121223320013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32121223320023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16060611660006 + 16060611660007.

It is an arithmetic number, because the mean of its divisors is an integer number (16060611660007).

Almost surely, 2^{32121223320013} is an apocalyptic number.

It is an amenable number.

32121223320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

32121223320013 is an equidigital number, since it uses as much as digits as its factorization.

32121223320013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 32121223320013 its reverse (31002332212123), we get a palindrome (63123555532136).

The spelling of 32121223320013 in words is "thirty-two trillion, one hundred twenty-one billion, two hundred twenty-three million, three hundred twenty thousand, thirteen".