1413321313 has 2 divisors, whose sum is σ = 1413321314. Its totient is φ = 1413321312.

The previous prime is 1413321307. The next prime is 1413321317. The reversal of 1413321313 is 3131233141.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1348872529 + 64448784 = 36727^2 + 8028^2 .

It is a cyclic number.

It is not a de Polignac number, because 1413321313 - 2²⁵ = 1379766881 is a prime.

It is not a weakly prime, because it can be changed into another prime (1413321317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 706660656 + 706660657.

It is an arithmetic number, because the mean of its divisors is an integer number (706660657).

Almost surely, 2^1413321313 is an apocalyptic number.

It is an amenable number.

1413321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1413321313 is an equidigital number, since it uses as much as digits as its factorization.

1413321313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 22.

The square root of 1413321313 is about 37594.1659436674. The cubic root of 1413321313 is about 1122.2259390485.

Adding to 1413321313 its reverse (3131233141), we get a palindrome (4544554454).

The spelling of 1413321313 in words is "one billion, four hundred thirteen million, three hundred twenty-one thousand, three hundred thirteen".