1310413361 has 2 divisors, whose sum is σ = 1310413362. Its totient is φ = 1310413360.

The previous prime is 1310413333. The next prime is 1310413367. The reversal of 1310413361 is 1633140131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1165812736 + 144600625 = 34144^2 + 12025^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310413361 - 2⁶ = 1310413297 is a prime.

It is not a weakly prime, because it can be changed into another prime (1310413367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655206680 + 655206681.

It is an arithmetic number, because the mean of its divisors is an integer number (655206681).

Almost surely, 2^1310413361 is an apocalyptic number.

It is an amenable number.

1310413361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310413361 is an equidigital number, since it uses as much as digits as its factorization.

1310413361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 1310413361 is about 36199.6320561411. The cubic root of 1310413361 is about 1094.2992565552.

Adding to 1310413361 its reverse (1633140131), we get a palindrome (2943553492).

The spelling of 1310413361 in words is "one billion, three hundred ten million, four hundred thirteen thousand, three hundred sixty-one".