2102333013 has 18 divisors (see below), whose sum is σ = 3337865622. Its totient is φ = 1274140560.

The previous prime is 2102333011. The next prime is 2102333027. The reversal of 2102333013 is 3103332012.

It can be written as a sum of positive squares in only one way, i.e., 1332104004 + 770229009 = 36498^2 + 27753^2 .

It is not a de Polignac number, because 2102333013 - 2¹ = 2102333011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102333011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 964170 + ... + 966347.

It is an arithmetic number, because the mean of its divisors is an integer number (185436979).

Almost surely, 2^2102333013 is an apocalyptic number.

It is an amenable number.

2102333013 is a deficient number, since it is larger than the sum of its proper divisors (1235532609).

2102333013 is a wasteful number, since it uses less digits than its factorization.

2102333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930545 (or 1930531 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2102333013 is about 45851.2051422861. The cubic root of 2102333013 is about 1281.0532129482.

Adding to 2102333013 its reverse (3103332012), we get a palindrome (5205665025).

The spelling of 2102333013 in words is "two billion, one hundred two million, three hundred thirty-three thousand, thirteen".