103312313 has 16 divisors (see below), whose sum is σ = 113654016. Its totient is φ = 93334080.

The previous prime is 103312303. The next prime is 103312327. The reversal of 103312313 is 313213301.

It is a cyclic number.

It is not a de Polignac number, because 103312313 - 2¹² = 103308217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103312291 and 103312300.

It is not an unprimeable number, because it can be changed into a prime (103312303) 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, 159356 + ... + 160002.

It is an arithmetic number, because the mean of its divisors is an integer number (7103376).

Almost surely, 2^103312313 is an apocalyptic number.

103312313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103312313 is a deficient number, since it is larger than the sum of its proper divisors (10341703).

103312313 is a wasteful number, since it uses less digits than its factorization.

103312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 103312313 is about 10164.2664762392. The cubic root of 103312313 is about 469.2281173652.

Adding to 103312313 its reverse (313213301), we get a palindrome (416525614).

The spelling of 103312313 in words is "one hundred three million, three hundred twelve thousand, three hundred thirteen".