210020013 has 32 divisors (see below), whose sum is σ = 356363520. Its totient is φ = 119750400.

The previous prime is 210020003. The next prime is 210020039. The reversal of 210020013 is 310020012.

It is a happy number.

It is not a de Polignac number, because 210020013 - 2⁶ = 210019949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210019977 and 210020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115713 + ... + 117513.

It is an arithmetic number, because the mean of its divisors is an integer number (11136360).

Almost surely, 2^210020013 is an apocalyptic number.

It is an amenable number.

210020013 is a deficient number, since it is larger than the sum of its proper divisors (146343507).

210020013 is a wasteful number, since it uses less digits than its factorization.

210020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 210020013 is about 14492.0672438407. The cubic root of 210020013 is about 594.4110765353.

Adding to 210020013 its reverse (310020012), we get a palindrome (520040025).

Subtracting 210020013 from its reverse (310020012), we obtain a palindrome (99999999).

The spelling of 210020013 in words is "two hundred ten million, twenty thousand, thirteen".