311213213220 has 192 divisors, whose sum is σ = 1080206991360. Its totient is φ = 65190016512.

The previous prime is 311213213209. The next prime is 311213213249. The reversal of 311213213220 is 22312312113.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 553909 + ... + 963971.

It is an arithmetic number, because the mean of its divisors is an integer number (5626078080).

Almost surely, 2^311213213220 is an apocalyptic number.

311213213220 is a gapful number since it is divisible by the number (30) 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 311213213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540103495680).

311213213220 is an abundant number, since it is smaller than the sum of its proper divisors (768993778140).

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

311213213220 is a wasteful number, since it uses less digits than its factorization.

311213213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410234 (or 410232 counting only the distinct ones).

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

Adding to 311213213220 its reverse (22312312113), we get a palindrome (333525525333).

The spelling of 311213213220 in words is "three hundred eleven billion, two hundred thirteen million, two hundred thirteen thousand, two hundred twenty".