1002312013 has 2 divisors, whose sum is σ = 1002312014. Its totient is φ = 1002312012.

The previous prime is 1002311969. The next prime is 1002312043. The reversal of 1002312013 is 3102132001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 592532964 + 409779049 = 24342^2 + 20243^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002312013 is a prime.

It is a super-2 number, since 2×1002312013² = 2009258742808224338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002311984 and 1002312002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002312043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501156006 + 501156007.

It is an arithmetic number, because the mean of its divisors is an integer number (501156007).

Almost surely, 2^1002312013 is an apocalyptic number.

It is an amenable number.

1002312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002312013 is an equidigital number, since it uses as much as digits as its factorization.

1002312013 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 1002312013 is about 31659.3116318091. The cubic root of 1002312013 is about 1000.7700778279.

Adding to 1002312013 its reverse (3102132001), we get a palindrome (4104444014).

The spelling of 1002312013 in words is "one billion, two million, three hundred twelve thousand, thirteen".