2231221201320 has 128 divisors (see below), whose sum is σ = 7089343430400. Its totient is φ = 559839891456.

The previous prime is 2231221201289. The next prime is 2231221201351. The reversal of 2231221201320 is 231021221322.

2231221201320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2231221201289) and next prime (2231221201351).

It is a super-3 number, since 3×2231221201320³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7418917 + ... + 7713803.

It is an arithmetic number, because the mean of its divisors is an integer number (55385495550).

Almost surely, 2^{2231221201320} is an apocalyptic number.

2231221201320 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 2231221201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544671715200).

2231221201320 is an abundant number, since it is smaller than the sum of its proper divisors (4858122229080).

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

2231221201320 is a wasteful number, since it uses less digits than its factorization.

2231221201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298627 (or 298623 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2231221201320 its reverse (231021221322), we get a palindrome (2462242422642).

The spelling of 2231221201320 in words is "two trillion, two hundred thirty-one billion, two hundred twenty-one million, two hundred one thousand, three hundred twenty".