210120010013 has 16 divisors (see below), whose sum is σ = 228541461120. Its totient is φ = 192398937600.

The previous prime is 210120010003. The next prime is 210120010019. The reversal of 210120010013 is 310010021012.

It is a cyclic number.

It is not a de Polignac number, because 210120010013 - 2²⁸ = 209851574557 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 210120009976 and 210120010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210120010019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169643 + ... + 670088.

It is an arithmetic number, because the mean of its divisors is an integer number (14283841320).

Almost surely, 2^210120010013 is an apocalyptic number.

It is an amenable number.

210120010013 is a deficient number, since it is larger than the sum of its proper divisors (18421451107).

210120010013 is a wasteful number, since it uses less digits than its factorization.

210120010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840148.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 210120010013 its reverse (310010021012), we get a palindrome (520130031025).

The spelling of 210120010013 in words is "two hundred ten billion, one hundred twenty million, ten thousand, thirteen".