2102213013 has 16 divisors (see below), whose sum is σ = 3063568896. Its totient is φ = 1276485120.

The previous prime is 2102212997. The next prime is 2102213027. The reversal of 2102213013 is 3103122012.

It is not a de Polignac number, because 2102213013 - 2⁴ = 2102212997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2102212983 and 2102213001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102213083) 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, 663256 + ... + 666417.

It is an arithmetic number, because the mean of its divisors is an integer number (191473056).

Almost surely, 2^2102213013 is an apocalyptic number.

It is an amenable number.

2102213013 is a deficient number, since it is larger than the sum of its proper divisors (961355883).

2102213013 is a wasteful number, since it uses less digits than its factorization.

2102213013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329724.

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

The square root of 2102213013 is about 45849.8965429585. The cubic root of 2102213013 is about 1281.0288385493.

Adding to 2102213013 its reverse (3103122012), we get a palindrome (5205335025).

The spelling of 2102213013 in words is "two billion, one hundred two million, two hundred thirteen thousand, thirteen".