202010013 has 6 divisors (see below), whose sum is σ = 291792254. Its totient is φ = 134673336.

The previous prime is 202009961. The next prime is 202010021. The reversal of 202010013 is 310010202.

It is a happy number.

202010013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 120956004 + 81054009 = 10998^2 + 9003^2 .

It is not a de Polignac number, because 202010013 - 2⁶ = 202009949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 22445557 = 202010013 / (2 + 0 + 2 + 0 + 1 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202009977 and 202010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202010023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11222770 + ... + 11222787.

Almost surely, 2^202010013 is an apocalyptic number.

It is an amenable number.

202010013 is a deficient number, since it is larger than the sum of its proper divisors (89782241).

202010013 is a wasteful number, since it uses less digits than its factorization.

202010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22445563 (or 22445560 counting only the distinct ones).

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

The square root of 202010013 is about 14213.0226552975. The cubic root of 202010013 is about 586.7561255554.

Adding to 202010013 its reverse (310010202), we get a palindrome (512020215).

The spelling of 202010013 in words is "two hundred two million, ten thousand, thirteen".