211310313121320 has 256 divisors, whose sum is σ = 725258219212800. Its totient is φ = 48248474757120.

The previous prime is 211310313121307. The next prime is 211310313121331. The reversal of 211310313121320 is 23121313013112.

It is a super-2 number, since 2×211310313121320² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3949182007 + ... + 3949235513.

It is an arithmetic number, because the mean of its divisors is an integer number (2833039918800).

Almost surely, 2^{211310313121320} is an apocalyptic number.

211310313121320 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 211310313121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362629109606400).

211310313121320 is an abundant number, since it is smaller than the sum of its proper divisors (513947906091480).

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

211310313121320 is a wasteful number, since it uses less digits than its factorization.

211310313121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58408 (or 58404 counting only the distinct ones).

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

Adding to 211310313121320 its reverse (23121313013112), we get a palindrome (234431626134432).

The spelling of 211310313121320 in words is "two hundred eleven trillion, three hundred ten billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred twenty".