123413221304413 has 2 divisors, whose sum is σ = 123413221304414. Its totient is φ = 123413221304412.

The previous prime is 123413221304407. The next prime is 123413221304437. The reversal of 123413221304413 is 314403122314321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101627730399364 + 21785490905049 = 10081058^2 + 4667493^2 .

It is a cyclic number.

It is not a de Polignac number, because 123413221304413 - 2³³ = 123404631369821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123413221304453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61706610652206 + 61706610652207.

It is an arithmetic number, because the mean of its divisors is an integer number (61706610652207).

Almost surely, 2^{123413221304413} is an apocalyptic number.

It is an amenable number.

123413221304413 is a deficient number, since it is larger than the sum of its proper divisors (1).

123413221304413 is an equidigital number, since it uses as much as digits as its factorization.

123413221304413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 123413221304413 its reverse (314403122314321), we get a palindrome (437816343618734).

The spelling of 123413221304413 in words is "one hundred twenty-three trillion, four hundred thirteen billion, two hundred twenty-one million, three hundred four thousand, four hundred thirteen".