1013312309 has 2 divisors, whose sum is σ = 1013312310. Its totient is φ = 1013312308.

The previous prime is 1013312273. The next prime is 1013312317. The reversal of 1013312309 is 9032133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 910228900 + 103083409 = 30170^2 + 10153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013312309 is a prime.

It is a super-2 number, since 2×1013312309² = 2053603671141822962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013312359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506656154 + 506656155.

It is an arithmetic number, because the mean of its divisors is an integer number (506656155).

Almost surely, 2^1013312309 is an apocalyptic number.

It is an amenable number.

1013312309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013312309 is an equidigital number, since it uses as much as digits as its factorization.

1013312309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 1013312309 is about 31832.5667987990. The cubic root of 1013312309 is about 1004.4178898403.

The spelling of 1013312309 in words is "one billion, thirteen million, three hundred twelve thousand, three hundred nine".