213210301303120 has 320 divisors, whose sum is σ = 575021233785600. Its totient is φ = 72774118932480.

The previous prime is 213210301303117. The next prime is 213210301303127. The reversal of 213210301303120 is 21303103012312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 213210301303091 and 213210301303100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213210301303127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1149047311 + ... + 1149232849.

It is an arithmetic number, because the mean of its divisors is an integer number (1796941355580).

Almost surely, 2^{213210301303120} is an apocalyptic number.

213210301303120 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 213210301303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287510616892800).

213210301303120 is an abundant number, since it is smaller than the sum of its proper divisors (361810932482480).

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

213210301303120 is a wasteful number, since it uses less digits than its factorization.

213210301303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186846 (or 186840 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 213210301303120 its reverse (21303103012312), we get a palindrome (234513404315432).

The spelling of 213210301303120 in words is "two hundred thirteen trillion, two hundred ten billion, three hundred one million, three hundred three thousand, one hundred twenty".