2101210013 has 12 divisors (see below), whose sum is σ = 2588046012. Its totient is φ = 1695093120.

The previous prime is 2101210009. The next prime is 2101210031. The reversal of 2101210013 is 3100121012.

It can be written as a sum of positive squares in 2 ways, for example, as 1180815769 + 920394244 = 34363^2 + 30338^2 .

It is not a de Polignac number, because 2101210013 - 2² = 2101210009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101209976 and 2101210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101210043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1260398 + ... + 1262063.

It is an arithmetic number, because the mean of its divisors is an integer number (215670501).

Almost surely, 2^2101210013 is an apocalyptic number.

It is an amenable number.

2101210013 is a deficient number, since it is larger than the sum of its proper divisors (486835999).

2101210013 is a wasteful number, since it uses less digits than its factorization.

2101210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522492 (or 2522485 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2101210013 is about 45838.9573725232. The cubic root of 2101210013 is about 1280.8250729119.

Adding to 2101210013 its reverse (3100121012), we get a palindrome (5201331025).

The spelling of 2101210013 in words is "two billion, one hundred one million, two hundred ten thousand, thirteen".