213002414130 has 96 divisors (see below), whose sum is σ = 562683768192. Its totient is φ = 51565282560.

The previous prime is 213002414113. The next prime is 213002414147. The reversal of 213002414130 is 31414200312.

It is an interprime number because it is at equal distance from previous prime (213002414113) and next prime (213002414147).

It is a junction number, because it is equal to n+sod(n) for n = 213002414097 and 213002414106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2598654 + ... + 2679366.

It is an arithmetic number, because the mean of its divisors is an integer number (5861289252).

Almost surely, 2^213002414130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213002414130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281341884096).

213002414130 is an abundant number, since it is smaller than the sum of its proper divisors (349681354062).

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

213002414130 is a wasteful number, since it uses less digits than its factorization.

213002414130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81472 (or 81461 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213002414130 its reverse (31414200312), we get a palindrome (244416614442).

The spelling of 213002414130 in words is "two hundred thirteen billion, two million, four hundred fourteen thousand, one hundred thirty".