2002100033213 has 64 divisors (see below), whose sum is σ = 2544108134400. Its totient is φ = 1535120750592.

The previous prime is 2002100033189. The next prime is 2002100033251. The reversal of 2002100033213 is 3123300012002.

It is a cyclic number.

It is not a de Polignac number, because 2002100033213 - 2⁸ = 2002100032957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 2002100033191 and 2002100033200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002100033513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510347270 + ... + 510351192.

It is an arithmetic number, because the mean of its divisors is an integer number (39751689600).

Almost surely, 2^{2002100033213} is an apocalyptic number.

2002100033213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2002100033213 is a deficient number, since it is larger than the sum of its proper divisors (542008101187).

2002100033213 is a wasteful number, since it uses less digits than its factorization.

2002100033213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106.

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

Adding to 2002100033213 its reverse (3123300012002), we get a palindrome (5125400045215).

The spelling of 2002100033213 in words is "two trillion, two billion, one hundred million, thirty-three thousand, two hundred thirteen".