2123211013 has 24 divisors (see below), whose sum is σ = 2698035264. Its totient is φ = 1652212800.

The previous prime is 2123211007. The next prime is 2123211023. The reversal of 2123211013 is 3101123212.

It is not a de Polignac number, because 2123211013 - 2¹⁷ = 2123079941 is a prime.

It is a super-3 number, since 3×2123211013³ (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 (2123211023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475873 + ... + 480313.

It is an arithmetic number, because the mean of its divisors is an integer number (112418136).

Almost surely, 2^2123211013 is an apocalyptic number.

It is an amenable number.

2123211013 is a deficient number, since it is larger than the sum of its proper divisors (574824251).

2123211013 is a wasteful number, since it uses less digits than its factorization.

2123211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2123211013 is about 46078.3139122950. The cubic root of 2123211013 is about 1285.2799105592.

Adding to 2123211013 its reverse (3101123212), we get a palindrome (5224334225).

The spelling of 2123211013 in words is "two billion, one hundred twenty-three million, two hundred eleven thousand, thirteen".