2201311300 has 144 divisors (see below), whose sum is σ = 5272162560. Its totient is φ = 794327040.

The previous prime is 2201311289. The next prime is 2201311429. The reversal of 2201311300 is 31131022.

It is a super-3 number, since 3×2201311300³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4968879 + ... + 4969321.

It is an arithmetic number, because the mean of its divisors is an integer number (36612240).

Almost surely, 2^2201311300 is an apocalyptic number.

2201311300 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 2201311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636081280).

2201311300 is an abundant number, since it is smaller than the sum of its proper divisors (3070851260).

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

2201311300 is a wasteful number, since it uses less digits than its factorization.

2201311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2201311300 is about 46918.1340208666. The cubic root of 2201311300 is about 1300.8497994016.

Adding to 2201311300 its reverse (31131022), we get a palindrome (2232442322).

The spelling of 2201311300 in words is "two billion, two hundred one million, three hundred eleven thousand, three hundred".