1310000413 has 2 divisors, whose sum is σ = 1310000414. Its totient is φ = 1310000412.

The previous prime is 1310000407. The next prime is 1310000473. The reversal of 1310000413 is 3140000131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 821280964 + 488719449 = 28658^2 + 22107^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310000413 - 2²⁵ = 1276445981 is a prime.

It is a super-2 number, since 2×1310000413² = 3432202164120341138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310000393 and 1310000402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310000473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655000206 + 655000207.

It is an arithmetic number, because the mean of its divisors is an integer number (655000207).

Almost surely, 2^1310000413 is an apocalyptic number.

It is an amenable number.

1310000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310000413 is an equidigital number, since it uses as much as digits as its factorization.

1310000413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1310000413 is about 36193.9278470851. The cubic root of 1310000413 is about 1094.1842963503.

Adding to 1310000413 its reverse (3140000131), we get a palindrome (4450000544).

The spelling of 1310000413 in words is "one billion, three hundred ten million, four hundred thirteen", and thus it is an aban number.