103013101113 has 12 divisors (see below), whose sum is σ = 148728975120. Its totient is φ = 63392677296.

The previous prime is 103013101067. The next prime is 103013101159. The reversal of 103013101113 is 311101310301.

It is an interprime number because it is at equal distance from previous prime (103013101067) and next prime (103013101159).

It is not a de Polignac number, because 103013101113 - 2⁶ = 103013101049 is a prime.

It is a super-2 number, since 2×103013101113² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103013101092 and 103013101101.

It is not an unprimeable number, because it can be changed into a prime (103013101193) 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, 101590323 + ... + 101591336.

It is an arithmetic number, because the mean of its divisors is an integer number (12394081260).

Almost surely, 2^103013101113 is an apocalyptic number.

103013101113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103013101113 is a deficient number, since it is larger than the sum of its proper divisors (45715874007).

103013101113 is a wasteful number, since it uses less digits than its factorization.

103013101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203181688 (or 203181675 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 103013101113 its reverse (311101310301), we get a palindrome (414114411414).

The spelling of 103013101113 in words is "one hundred three billion, thirteen million, one hundred one thousand, one hundred thirteen".