1002136313 has 2 divisors, whose sum is σ = 1002136314. Its totient is φ = 1002136312.

The previous prime is 1002136301. The next prime is 1002136327. The reversal of 1002136313 is 3136312001.

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., 1000899769 + 1236544 = 31637^2 + 1112^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002136313 - 2⁴ = 1002136297 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002136363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501068156 + 501068157.

It is an arithmetic number, because the mean of its divisors is an integer number (501068157).

Almost surely, 2^1002136313 is an apocalyptic number.

It is an amenable number.

1002136313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002136313 is an equidigital number, since it uses as much as digits as its factorization.

1002136313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 1002136313 is about 31656.5366551681. The cubic root of 1002136313 is about 1000.7115978417.

Adding to 1002136313 its reverse (3136312001), we get a palindrome (4138448314).

The spelling of 1002136313 in words is "one billion, two million, one hundred thirty-six thousand, three hundred thirteen".