421122322013 has 2 divisors, whose sum is σ = 421122322014. Its totient is φ = 421122322012.

The previous prime is 421122321973. The next prime is 421122322021. The reversal of 421122322013 is 310223221124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402111979129 + 19010342884 = 634123^2 + 137878^2 .

It is a cyclic number.

It is not a de Polignac number, because 421122322013 - 2⁸ = 421122321757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 421122322013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (421122322043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210561161006 + 210561161007.

It is an arithmetic number, because the mean of its divisors is an integer number (210561161007).

Almost surely, 2^421122322013 is an apocalyptic number.

It is an amenable number.

421122322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

421122322013 is an equidigital number, since it uses as much as digits as its factorization.

421122322013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 421122322013 its reverse (310223221124), we get a palindrome (731345543137).

The spelling of 421122322013 in words is "four hundred twenty-one billion, one hundred twenty-two million, three hundred twenty-two thousand, thirteen".