413131310013221 has 2 divisors, whose sum is σ = 413131310013222. Its totient is φ = 413131310013220.

The previous prime is 413131310013193. The next prime is 413131310013259. The reversal of 413131310013221 is 122310013131314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309397370193025 + 103733939820196 = 17589695^2 + 10184986^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413131310013221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413131310016221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206565655006610 + 206565655006611.

It is an arithmetic number, because the mean of its divisors is an integer number (206565655006611).

Almost surely, 2^{413131310013221} is an apocalyptic number.

It is an amenable number.

413131310013221 is a deficient number, since it is larger than the sum of its proper divisors (1).

413131310013221 is an equidigital number, since it uses as much as digits as its factorization.

413131310013221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 413131310013221 its reverse (122310013131314), we get a palindrome (535441323144535).

The spelling of 413131310013221 in words is "four hundred thirteen trillion, one hundred thirty-one billion, three hundred ten million, thirteen thousand, two hundred twenty-one".