1013103315 has 64 divisors (see below), whose sum is σ = 2089221120. Its totient is φ = 456192000.

The previous prime is 1013103269. The next prime is 1013103341. The reversal of 1013103315 is 5133013101.

It is not a de Polignac number, because 1013103315 - 2¹⁷ = 1012972243 is a prime.

It is an unprimeable number.

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 in 63 ways as a sum of consecutive naturals, for example, 55315 + ... + 71315.

It is an arithmetic number, because the mean of its divisors is an integer number (32644080).

Almost surely, 2^1013103315 is an apocalyptic number.

1013103315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1013103315 is an abundant number, since it is smaller than the sum of its proper divisors (1076117805).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013103315 is a wasteful number, since it uses less digits than its factorization.

1013103315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16089 (or 16083 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1013103315 is about 31829.2839221997. The cubic root of 1013103315 is about 1004.3488319121.

Adding to 1013103315 its reverse (5133013101), we get a palindrome (6146116416).

The spelling of 1013103315 in words is "one billion, thirteen million, one hundred three thousand, three hundred fifteen".