311221113201020 has 48 divisors (see below), whose sum is σ = 735978609063936. Its totient is φ = 109520626344000.

The previous prime is 311221113200981. The next prime is 311221113201049. The reversal of 311221113201020 is 20102311122113.

It is a super-3 number, since 3×311221113201020³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 311221113200983 and 311221113201001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22816790336 + ... + 22816803975.

It is an arithmetic number, because the mean of its divisors is an integer number (15332887688832).

Almost surely, 2^{311221113201020} is an apocalyptic number.

It is an amenable number.

311221113201020 is an abundant number, since it is smaller than the sum of its proper divisors (424757495862916).

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

311221113201020 is a wasteful number, since it uses less digits than its factorization.

311221113201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45633594362 (or 45633594360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 311221113201020 its reverse (20102311122113), we get a palindrome (331323424323133).

The spelling of 311221113201020 in words is "three hundred eleven trillion, two hundred twenty-one billion, one hundred thirteen million, two hundred one thousand, twenty".