3200510442213 has 36 divisors (see below), whose sum is σ = 5382126498528. Its totient is φ = 1827367410960.

The previous prime is 3200510442203. The next prime is 3200510442223. The reversal of 3200510442213 is 3122440150023.

3200510442213 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 5 + 1 + 0 + 442 + 213 = 666.

It is an interprime number because it is at equal distance from previous prime (3200510442203) and next prime (3200510442223).

It is not a de Polignac number, because 3200510442213 - 2⁹ = 3200510441701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200510442203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2427703 + ... + 3506388.

It is an arithmetic number, because the mean of its divisors is an integer number (149503513848).

Almost surely, 2^{3200510442213} is an apocalyptic number.

It is an amenable number.

3200510442213 is a deficient number, since it is larger than the sum of its proper divisors (2181616056315).

3200510442213 is a wasteful number, since it uses less digits than its factorization.

3200510442213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935334 (or 5935324 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3200510442213 its reverse (3122440150023), we get a palindrome (6322950592236).

The spelling of 3200510442213 in words is "three trillion, two hundred billion, five hundred ten million, four hundred forty-two thousand, two hundred thirteen".