11301322113120 has 144 divisors (see below), whose sum is σ = 38548208158992. Its totient is φ = 2781863884800.

The previous prime is 11301322113097. The next prime is 11301322113127. The reversal of 11301322113120 is 2131122310311.

It is a super-2 number, since 2×11301322113120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301322113127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69576931 + ... + 69739170.

It is an arithmetic number, because the mean of its divisors is an integer number (267695889993).

Almost surely, 2^{11301322113120} is an apocalyptic number.

11301322113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11301322113120 is an abundant number, since it is smaller than the sum of its proper divisors (27246886045872).

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

11301322113120 is a wasteful number, since it uses less digits than its factorization.

11301322113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139316145 (or 139316124 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11301322113120 its reverse (2131122310311), we get a palindrome (13432444423431).

The spelling of 11301322113120 in words is "eleven trillion, three hundred one billion, three hundred twenty-two million, one hundred thirteen thousand, one hundred twenty".