213121131210 has 256 divisors, whose sum is σ = 654477304320. Its totient is φ = 48884428800.

The previous prime is 213121131199. The next prime is 213121131239. The reversal of 213121131210 is 12131121312.

213121131210 is a `hidden beast` number, since 2 + 131 + 211 + 312 + 10 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6008989 + ... + 6044351.

It is an arithmetic number, because the mean of its divisors is an integer number (2556551970).

Almost surely, 2^213121131210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213121131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327238652160).

213121131210 is an abundant number, since it is smaller than the sum of its proper divisors (441356173110).

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

213121131210 is a wasteful number, since it uses less digits than its factorization.

213121131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35510 (or 35504 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 213121131210 its reverse (12131121312), we get a palindrome (225252252522).

The spelling of 213121131210 in words is "two hundred thirteen billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred ten".