414023233313 has 2 divisors, whose sum is σ = 414023233314. Its totient is φ = 414023233312.

The previous prime is 414023233277. The next prime is 414023233319. The reversal of 414023233313 is 313332320414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384887474449 + 29135758864 = 620393^2 + 170692^2 .

It is a cyclic number.

It is not a de Polignac number, because 414023233313 - 2¹⁰ = 414023232289 is a prime.

It is not a weakly prime, because it can be changed into another prime (414023233319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207011616656 + 207011616657.

It is an arithmetic number, because the mean of its divisors is an integer number (207011616657).

Almost surely, 2^414023233313 is an apocalyptic number.

It is an amenable number.

414023233313 is a deficient number, since it is larger than the sum of its proper divisors (1).

414023233313 is an equidigital number, since it uses as much as digits as its factorization.

414023233313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 414023233313 its reverse (313332320414), we get a palindrome (727355553727).

The spelling of 414023233313 in words is "four hundred fourteen billion, twenty-three million, two hundred thirty-three thousand, three hundred thirteen".