1413313313 has 2 divisors, whose sum is σ = 1413313314. Its totient is φ = 1413313312.

The previous prime is 1413313273. The next prime is 1413313339. The reversal of 1413313313 is 3133133141.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 837697249 + 575616064 = 28943^2 + 23992^2 .

It is a cyclic number.

It is not a de Polignac number, because 1413313313 - 2⁶ = 1413313249 is a prime.

It is not a weakly prime, because it can be changed into another prime (1413313393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 706656656 + 706656657.

It is an arithmetic number, because the mean of its divisors is an integer number (706656657).

Almost surely, 2^1413313313 is an apocalyptic number.

It is an amenable number.

1413313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1413313313 is an equidigital number, since it uses as much as digits as its factorization.

1413313313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 23.

The square root of 1413313313 is about 37594.0595440290. The cubic root of 1413313313 is about 1122.2238216191.

Adding to 1413313313 its reverse (3133133141), we get a palindrome (4546446454).

It can be divided in two parts, 1 and 413313313, that added together give a palindrome (413313314).

The spelling of 1413313313 in words is "one billion, four hundred thirteen million, three hundred thirteen thousand, three hundred thirteen".