213130202010 has 256 divisors, whose sum is σ = 589614391296. Its totient is φ = 48833280000.

The previous prime is 213130201979. The next prime is 213130202011. The reversal of 213130202010 is 10202031312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (213130202011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135664525 + ... + 135666095.

It is an arithmetic number, because the mean of its divisors is an integer number (2303181216).

Almost surely, 2^213130202010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213130202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294807195648).

213130202010 is an abundant number, since it is smaller than the sum of its proper divisors (376484189286).

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

213130202010 is a wasteful number, since it uses less digits than its factorization.

213130202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213130202010 its reverse (10202031312), we get a palindrome (223332233322).

The spelling of 213130202010 in words is "two hundred thirteen billion, one hundred thirty million, two hundred two thousand, ten".