2013213021 has 16 divisors (see below), whose sum is σ = 2700929088. Its totient is φ = 1333843200.

The previous prime is 2013212989. The next prime is 2013213029. The reversal of 2013213021 is 1203123102.

It is not a de Polignac number, because 2013213021 - 2⁵ = 2013212989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013213029) 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, 388570 + ... + 393716.

It is an arithmetic number, because the mean of its divisors is an integer number (168808068).

Almost surely, 2^2013213021 is an apocalyptic number.

It is an amenable number.

2013213021 is a deficient number, since it is larger than the sum of its proper divisors (687716067).

2013213021 is a wasteful number, since it uses less digits than its factorization.

2013213021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2013213021 is about 44868.8424299090. The cubic root of 2013213021 is about 1262.6895227162.

Adding to 2013213021 its reverse (1203123102), we get a palindrome (3216336123).

It can be divided in two parts, 20132 and 13021, that added together give a triangular number (33153 = T₂₅₇).

The spelling of 2013213021 in words is "two billion, thirteen million, two hundred thirteen thousand, twenty-one".