413013321311 has 2 divisors, whose sum is σ = 413013321312. Its totient is φ = 413013321310.

The previous prime is 413013321271. The next prime is 413013321319. The reversal of 413013321311 is 113123310314.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 413013321311 - 2¹⁴ = 413013304927 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413013321319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206506660655 + 206506660656.

It is an arithmetic number, because the mean of its divisors is an integer number (206506660656).

Almost surely, 2^413013321311 is an apocalyptic number.

413013321311 is a deficient number, since it is larger than the sum of its proper divisors (1).

413013321311 is an equidigital number, since it uses as much as digits as its factorization.

413013321311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 413013321311 its reverse (113123310314), we get a palindrome (526136631625).

The spelling of 413013321311 in words is "four hundred thirteen billion, thirteen million, three hundred twenty-one thousand, three hundred eleven".