1003102100113 has 16 divisors (see below), whose sum is σ = 1069072992000. Its totient is φ = 937915276032.

The previous prime is 1003102100089. The next prime is 1003102100137. The reversal of 1003102100113 is 3110012013001.

1003102100113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1003102100089) and next prime (1003102100137).

It is a cyclic number.

It is not a de Polignac number, because 1003102100113 - 2²⁵ = 1003068545681 is a prime.

It is a super-2 number, since 2×1003102100113² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003102100093 and 1003102100102.

It is not an unprimeable number, because it can be changed into a prime (1003102100173) 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, 3003043 + ... + 3320311.

It is an arithmetic number, because the mean of its divisors is an integer number (66817062000).

Almost surely, 2^{1003102100113} is an apocalyptic number.

It is an amenable number.

1003102100113 is a deficient number, since it is larger than the sum of its proper divisors (65970891887).

1003102100113 is a wasteful number, since it uses less digits than its factorization.

1003102100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318504.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1003102100113 its reverse (3110012013001), we get a palindrome (4113114113114).

The spelling of 1003102100113 in words is "one trillion, three billion, one hundred two million, one hundred thousand, one hundred thirteen".