103321310013 has 12 divisors (see below), whose sum is σ = 149284958940. Its totient is φ = 68860996416.

The previous prime is 103321309981. The next prime is 103321310017. The reversal of 103321310013 is 310013123301.

It is a happy number.

103321310013 is a `hidden beast` number, since 10 + 332 + 1 + 310 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3583459044 + 99737850969 = 59862^2 + 315813^2 .

It is not a de Polignac number, because 103321310013 - 2⁵ = 103321309981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103321310017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1623456 + ... + 1685897.

It is an arithmetic number, because the mean of its divisors is an integer number (12440413245).

Almost surely, 2^103321310013 is an apocalyptic number.

It is an amenable number.

103321310013 is a deficient number, since it is larger than the sum of its proper divisors (45963648927).

103321310013 is a wasteful number, since it uses less digits than its factorization.

103321310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312828 (or 3312825 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103321310013 its reverse (310013123301), we get a palindrome (413334433314).

The spelling of 103321310013 in words is "one hundred three billion, three hundred twenty-one million, three hundred ten thousand, thirteen".