413234133337 has 2 divisors, whose sum is σ = 413234133338. Its totient is φ = 413234133336.

The previous prime is 413234133313. The next prime is 413234133359. The reversal of 413234133337 is 733331432314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 332916306121 + 80317827216 = 576989^2 + 283404^2 .

It is a cyclic number.

It is not a de Polignac number, because 413234133337 - 2¹⁵ = 413234100569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413234133296 and 413234133305.

It is not a weakly prime, because it can be changed into another prime (413234133937) 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, 206617066668 + 206617066669.

It is an arithmetic number, because the mean of its divisors is an integer number (206617066669).

Almost surely, 2^413234133337 is an apocalyptic number.

It is an amenable number.

413234133337 is a deficient number, since it is larger than the sum of its proper divisors (1).

413234133337 is an equidigital number, since it uses as much as digits as its factorization.

413234133337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 163296, while the sum is 37.

The spelling of 413234133337 in words is "four hundred thirteen billion, two hundred thirty-four million, one hundred thirty-three thousand, three hundred thirty-seven".