1013000313 has 16 divisors (see below), whose sum is σ = 1455705216. Its totient is φ = 622896000.

The previous prime is 1013000311. The next prime is 1013000377. The reversal of 1013000313 is 3130003101.

It is not a de Polignac number, because 1013000313 - 2¹ = 1013000311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013000311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43813 + ... + 62813.

It is an arithmetic number, because the mean of its divisors is an integer number (90981576).

Almost surely, 2^1013000313 is an apocalyptic number.

1013000313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013000313 is a deficient number, since it is larger than the sum of its proper divisors (442704903).

1013000313 is a wasteful number, since it uses less digits than its factorization.

1013000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20384.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1013000313 is about 31827.6658427853. The cubic root of 1013000313 is about 1004.3147934474.

Adding to 1013000313 its reverse (3130003101), we get a palindrome (4143003414).

The spelling of 1013000313 in words is "one billion, thirteen million, three hundred thirteen", and thus it is an aban number.