11301312221320 has 128 divisors (see below), whose sum is σ = 28121632358400. Its totient is φ = 4053082924800.

The previous prime is 11301312221317. The next prime is 11301312221341. The reversal of 11301312221320 is 2312221310311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11301312221291 and 11301312221300.

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, 31487917 + ... + 31844803.

It is an arithmetic number, because the mean of its divisors is an integer number (219700252800).

Almost surely, 2^{11301312221320} is an apocalyptic number.

11301312221320 is a gapful number since it is divisible by the number (10) 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 11301312221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14060816179200).

11301312221320 is an abundant number, since it is smaller than the sum of its proper divisors (16820320137080).

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

11301312221320 is a wasteful number, since it uses less digits than its factorization.

11301312221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357899 (or 357895 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11301312221320 its reverse (2312221310311), we get a palindrome (13613533531631).

The spelling of 11301312221320 in words is "eleven trillion, three hundred one billion, three hundred twelve million, two hundred twenty-one thousand, three hundred twenty".