1005312313 has 4 divisors (see below), whose sum is σ = 1049021568. Its totient is φ = 961603060.

The previous prime is 1005312257. The next prime is 1005312317. The reversal of 1005312313 is 3132135001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1005312313 - 2¹³ = 1005304121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005312317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21854593 + ... + 21854638.

It is an arithmetic number, because the mean of its divisors is an integer number (262255392).

Almost surely, 2^1005312313 is an apocalyptic number.

It is an amenable number.

1005312313 is a deficient number, since it is larger than the sum of its proper divisors (43709255).

1005312313 is an equidigital number, since it uses as much as digits as its factorization.

1005312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43709254.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 1005312313 is about 31706.6603886313. The cubic root of 1005312313 is about 1001.7676445916.

Adding to 1005312313 its reverse (3132135001), we get a palindrome (4137447314).

It can be divided in two parts, 10053 and 12313, that added together give a triangular number (22366 = T₂₁₁).

The spelling of 1005312313 in words is "one billion, five million, three hundred twelve thousand, three hundred thirteen".