213202013130 has 96 divisors (see below), whose sum is σ = 588202228224. Its totient is φ = 53393776128.

The previous prime is 213202013117. The next prime is 213202013149. The reversal of 213202013130 is 31310202312.

213202013130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557907 + ... + 858873.

It is an arithmetic number, because the mean of its divisors is an integer number (6127106544).

Almost surely, 2^213202013130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213202013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294101114112).

213202013130 is an abundant number, since it is smaller than the sum of its proper divisors (375000215094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213202013130 is a wasteful number, since it uses less digits than its factorization.

213202013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301460 (or 301457 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213202013130 its reverse (31310202312), we get a palindrome (244512215442).

The spelling of 213202013130 in words is "two hundred thirteen billion, two hundred two million, thirteen thousand, one hundred thirty".