103120120131313 has 16 divisors (see below), whose sum is σ = 109463663741184. Its totient is φ = 96807438731520.

The previous prime is 103120120131293. The next prime is 103120120131389. The reversal of 103120120131313 is 313131021021301.

It is a cyclic number.

It is not a de Polignac number, because 103120120131313 - 2²⁹ = 103119583260401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103120120131013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323434968 + ... + 323753638.

It is an arithmetic number, because the mean of its divisors is an integer number (6841478983824).

Almost surely, 2^{103120120131313} is an apocalyptic number.

It is an amenable number.

103120120131313 is a deficient number, since it is larger than the sum of its proper divisors (6343543609871).

103120120131313 is a wasteful number, since it uses less digits than its factorization.

103120120131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367032.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 103120120131313 its reverse (313131021021301), we get a palindrome (416251141152614).

The spelling of 103120120131313 in words is "one hundred three trillion, one hundred twenty billion, one hundred twenty million, one hundred thirty-one thousand, three hundred thirteen".