2021010013 has 16 divisors (see below), whose sum is σ = 2249496000. Its totient is φ = 1800190080.

The previous prime is 2021009999. The next prime is 2021010053. The reversal of 2021010013 is 3100101202.

It is a cyclic number.

It is not a de Polignac number, because 2021010013 - 2²⁵ = 1987455581 is a prime.

It is a super-3 number, since 3×2021010013³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021010053) 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, 198163 + ... + 208111.

It is an arithmetic number, because the mean of its divisors is an integer number (140593500).

Almost surely, 2^2021010013 is an apocalyptic number.

It is an amenable number.

2021010013 is a deficient number, since it is larger than the sum of its proper divisors (228485987).

2021010013 is a wasteful number, since it uses less digits than its factorization.

2021010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2021010013 is about 44955.6449514407. The cubic root of 2021010013 is about 1264.3175169473.

Adding to 2021010013 its reverse (3100101202), we get a palindrome (5121111215).

The spelling of 2021010013 in words is "two billion, twenty-one million, ten thousand, thirteen".