313223121303413 has 2 divisors, whose sum is σ = 313223121303414. Its totient is φ = 313223121303412.

The previous prime is 313223121303397. The next prime is 313223121303511. The reversal of 313223121303413 is 314303121322313.

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., 270127073704849 + 43096047598564 = 16435543^2 + 6564758^2 .

It is a cyclic number.

It is not a de Polignac number, because 313223121303413 - 2⁴ = 313223121303397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313223121303413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313223121303613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156611560651706 + 156611560651707.

It is an arithmetic number, because the mean of its divisors is an integer number (156611560651707).

Almost surely, 2^{313223121303413} is an apocalyptic number.

It is an amenable number.

313223121303413 is a deficient number, since it is larger than the sum of its proper divisors (1).

313223121303413 is an equidigital number, since it uses as much as digits as its factorization.

313223121303413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 313223121303413 its reverse (314303121322313), we get a palindrome (627526242625726).

The spelling of 313223121303413 in words is "three hundred thirteen trillion, two hundred twenty-three billion, one hundred twenty-one million, three hundred three thousand, four hundred thirteen".