213102120031320 has 512 divisors, whose sum is σ = 729843851520000. Its totient is φ = 49343942983680.

The previous prime is 213102120031319. The next prime is 213102120031357. The reversal of 213102120031320 is 23130021201312.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 15576494880 + ... + 15576508560.

It is an arithmetic number, because the mean of its divisors is an integer number (1425476272500).

Almost surely, 2^{213102120031320} is an apocalyptic number.

213102120031320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213102120031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364921925760000).

213102120031320 is an abundant number, since it is smaller than the sum of its proper divisors (516741731488680).

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

213102120031320 is a wasteful number, since it uses less digits than its factorization.

213102120031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17403 (or 17399 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213102120031320 its reverse (23130021201312), we get a palindrome (236232141232632).

The spelling of 213102120031320 in words is "two hundred thirteen trillion, one hundred two billion, one hundred twenty million, thirty-one thousand, three hundred twenty".