201313222120 has 64 divisors (see below), whose sum is σ = 463981763520. Its totient is φ = 78568917504.

The previous prime is 201313222109. The next prime is 201313222127. The reversal of 201313222120 is 21222313102.

201313222120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201313222127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567044 + ... + 1690636.

It is an arithmetic number, because the mean of its divisors is an integer number (7249715055).

Almost surely, 2^201313222120 is an apocalyptic number.

201313222120 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 201313222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231990881760).

201313222120 is an abundant number, since it is smaller than the sum of its proper divisors (262668541400).

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

201313222120 is a wasteful number, since it uses less digits than its factorization.

201313222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124594 (or 124590 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 201313222120 its reverse (21222313102), we get a palindrome (222535535222).

The spelling of 201313222120 in words is "two hundred one billion, three hundred thirteen million, two hundred twenty-two thousand, one hundred twenty".