1012610313 has 72 divisors (see below), whose sum is σ = 1788246720. Its totient is φ = 546698880.

The previous prime is 1012610303. The next prime is 1012610323. The reversal of 1012610313 is 3130162101.

1012610313 is a `hidden beast` number, since 10 + 12 + 610 + 31 + 3 = 666.

1012610313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1012610303) and next prime (1012610323).

It is not a de Polignac number, because 1012610313 - 2⁵ = 1012610281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012610303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 484156 + ... + 486242.

It is an arithmetic number, because the mean of its divisors is an integer number (24836760).

Almost surely, 2^1012610313 is an apocalyptic number.

1012610313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1012610313 is a deficient number, since it is larger than the sum of its proper divisors (775636407).

1012610313 is a wasteful number, since it uses less digits than its factorization.

1012610313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1012610313 is about 31821.5385077466. The cubic root of 1012610313 is about 1004.1858915308.

Adding to 1012610313 its reverse (3130162101), we get a palindrome (4142772414).

The spelling of 1012610313 in words is "one billion, twelve million, six hundred ten thousand, three hundred thirteen".