10120103313 has 32 divisors (see below), whose sum is σ = 13852780032. Its totient is φ = 6569683200.

The previous prime is 10120103303. The next prime is 10120103321. The reversal of 10120103313 is 31330102101.

It is not a de Polignac number, because 10120103313 - 2²² = 10115909009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120103292 and 10120103301.

It is not an unprimeable number, because it can be changed into a prime (10120103303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9174520 + ... + 9175622.

It is an arithmetic number, because the mean of its divisors is an integer number (432899376).

Almost surely, 2^10120103313 is an apocalyptic number.

It is an amenable number.

10120103313 is a deficient number, since it is larger than the sum of its proper divisors (3732676719).

10120103313 is a wasteful number, since it uses less digits than its factorization.

10120103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10120103313 its reverse (31330102101), we get a palindrome (41450205414).

The spelling of 10120103313 in words is "ten billion, one hundred twenty million, one hundred three thousand, three hundred thirteen".