10010103113013 has 32 divisors (see below), whose sum is σ = 13693766435712. Its totient is φ = 6502056960000.

The previous prime is 10010103112987. The next prime is 10010103113029. The reversal of 10010103113013 is 31031130101001.

It is not a de Polignac number, because 10010103113013 - 2⁵ = 10010103112981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010103112983 and 10010103113001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010103113083) 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, 34949638 + ... + 35234888.

It is an arithmetic number, because the mean of its divisors is an integer number (427930201116).

Almost surely, 2^{10010103113013} is an apocalyptic number.

It is an amenable number.

10010103113013 is a deficient number, since it is larger than the sum of its proper divisors (3683663322699).

10010103113013 is a wasteful number, since it uses less digits than its factorization.

10010103113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287125.

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

Adding to 10010103113013 its reverse (31031130101001), we get a palindrome (41041233214014).

The spelling of 10010103113013 in words is "ten trillion, ten billion, one hundred three million, one hundred thirteen thousand, thirteen".