2000013021 has 6 divisors (see below), whose sum is σ = 2888907710. Its totient is φ = 1333342008.

The previous prime is 2000012981. The next prime is 2000013031. The reversal of 2000013021 is 1203100002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1075184100 + 924828921 = 32790^2 + 30411^2 .

It is not a de Polignac number, because 2000013021 - 2¹³ = 2000004829 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: 222223669 = 2000013021 / (2 + 0 + 0 + 0 + 0 + 1 + 3 + 0 + 2 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2000012994 and 2000013012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000013031) 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, 111111826 + ... + 111111843.

Almost surely, 2^2000013021 is an apocalyptic number.

It is an amenable number.

2000013021 is a deficient number, since it is larger than the sum of its proper divisors (888894689).

2000013021 is a wasteful number, since it uses less digits than its factorization.

2000013021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222223675 (or 222223672 counting only the distinct ones).

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

The square root of 2000013021 is about 44721.5051289645. The cubic root of 2000013021 is about 1259.9237841276.

Adding to 2000013021 its reverse (1203100002), we get a palindrome (3203113023).

The spelling of 2000013021 in words is "two billion, thirteen thousand, twenty-one".