213113220211320 has 512 divisors, whose sum is σ = 791454996864000. Its totient is φ = 45133378191360.

The previous prime is 213113220211319. The next prime is 213113220211337. The reversal of 213113220211320 is 23112022311312.

It is a super-2 number, since 2×213113220211320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318206566 + ... + 318875594.

It is an arithmetic number, because the mean of its divisors is an integer number (1545810540750).

Almost surely, 2^{213113220211320} is an apocalyptic number.

213113220211320 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 213113220211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395727498432000).

213113220211320 is an abundant number, since it is smaller than the sum of its proper divisors (578341776652680).

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

213113220211320 is a wasteful number, since it uses less digits than its factorization.

213113220211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670063 (or 670059 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 213113220211320 its reverse (23112022311312), we get a palindrome (236225242522632).

The spelling of 213113220211320 in words is "two hundred thirteen trillion, one hundred thirteen billion, two hundred twenty million, two hundred eleven thousand, three hundred twenty".