2010221223013 has 16 divisors (see below), whose sum is σ = 2053902322800. Its totient is φ = 1966756087296.

The previous prime is 2010221222921. The next prime is 2010221223041. The reversal of 2010221223013 is 3103221220102.

It can be written as a sum of positive squares in 8 ways, for example, as 58408255684 + 1951812967329 = 241678^2 + 1397073^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010221223013 - 2¹³ = 2010221214821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010221293013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85351563 + ... + 85375111.

It is an arithmetic number, because the mean of its divisors is an integer number (128368895175).

Almost surely, 2^{2010221223013} is an apocalyptic number.

It is an amenable number.

2010221223013 is a deficient number, since it is larger than the sum of its proper divisors (43681099787).

2010221223013 is a wasteful number, since it uses less digits than its factorization.

2010221223013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28056.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2010221223013 its reverse (3103221220102), we get a palindrome (5113442443115).

The spelling of 2010221223013 in words is "two trillion, ten billion, two hundred twenty-one million, two hundred twenty-three thousand, thirteen".