10100213113013 has 16 divisors (see below), whose sum is σ = 10442275909632. Its totient is φ = 9763049040000.

The previous prime is 10100213112953. The next prime is 10100213113031. The reversal of 10100213113013 is 31031131200101.

It is a cyclic number.

It is not a de Polignac number, because 10100213113013 - 2³⁶ = 10031493636277 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100213112982 and 10100213113000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100213113033) 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, 241343 + ... + 4500963.

It is an arithmetic number, because the mean of its divisors is an integer number (652642244352).

Almost surely, 2^{10100213113013} is an apocalyptic number.

It is an amenable number.

10100213113013 is a deficient number, since it is larger than the sum of its proper divisors (342062796619).

10100213113013 is a wasteful number, since it uses less digits than its factorization.

10100213113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260196.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10100213113013 its reverse (31031131200101), we get a palindrome (41131344313114).

The spelling of 10100213113013 in words is "ten trillion, one hundred billion, two hundred thirteen million, one hundred thirteen thousand, thirteen".