2102033213 has 48 divisors (see below), whose sum is σ = 2678653440. Its totient is φ = 1638403200.

The previous prime is 2102033203. The next prime is 2102033231. The reversal of 2102033213 is 3123302012.

It is not a de Polignac number, because 2102033213 - 2¹² = 2102029117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102033191 and 2102033200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102033203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4992743 + ... + 4993163.

It is an arithmetic number, because the mean of its divisors is an integer number (55805280).

Almost surely, 2^2102033213 is an apocalyptic number.

It is an amenable number.

2102033213 is a deficient number, since it is larger than the sum of its proper divisors (576620227).

2102033213 is a wasteful number, since it uses less digits than its factorization.

2102033213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2102033213 is about 45847.9357550588. The cubic root of 2102033213 is about 1280.9923158387.

Adding to 2102033213 its reverse (3123302012), we get a palindrome (5225335225).

The spelling of 2102033213 in words is "two billion, one hundred two million, thirty-three thousand, two hundred thirteen".