413004321311 has 2 divisors, whose sum is σ = 413004321312. Its totient is φ = 413004321310.

The previous prime is 413004321307. The next prime is 413004321313. The reversal of 413004321311 is 113123400314.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 413004321311 - 2² = 413004321307 is a prime.

Together with 413004321313, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413004321313) 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, 206502160655 + 206502160656.

It is an arithmetic number, because the mean of its divisors is an integer number (206502160656).

Almost surely, 2^413004321311 is an apocalyptic number.

413004321311 is a deficient number, since it is larger than the sum of its proper divisors (1).

413004321311 is an equidigital number, since it uses as much as digits as its factorization.

413004321311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 413004321311 its reverse (113123400314), we get a palindrome (526127721625).

The spelling of 413004321311 in words is "four hundred thirteen billion, four million, three hundred twenty-one thousand, three hundred eleven".