213313021131210 has 768 divisors, whose sum is σ = 718347679386624. Its totient is φ = 39414988800000.

The previous prime is 213313021131187. The next prime is 213313021131239. The reversal of 213313021131210 is 12131120313312.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1234356810 + ... + 1234529610.

It is an arithmetic number, because the mean of its divisors is an integer number (935348540868).

Almost surely, 2^{213313021131210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213313021131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359173839693312).

213313021131210 is an abundant number, since it is smaller than the sum of its proper divisors (505034658255414).

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

213313021131210 is a wasteful number, since it uses less digits than its factorization.

213313021131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172991 (or 172980 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 213313021131210 its reverse (12131120313312), we get a palindrome (225444141444522).

The spelling of 213313021131210 in words is "two hundred thirteen trillion, three hundred thirteen billion, twenty-one million, one hundred thirty-one thousand, two hundred ten".