11313323120 has 80 divisors (see below), whose sum is σ = 28815298560. Its totient is φ = 4096646400.

The previous prime is 11313323113. The next prime is 11313323143. The reversal of 11313323120 is 2132331311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11313323092 and 11313323101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183425 + ... + 237215.

It is an arithmetic number, because the mean of its divisors is an integer number (360191232).

Almost surely, 2^11313323120 is an apocalyptic number.

11313323120 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 11313323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14407649280).

11313323120 is an abundant number, since it is smaller than the sum of its proper divisors (17501975440).

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

11313323120 is a wasteful number, since it uses less digits than its factorization.

11313323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54054 (or 54048 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11313323120 its reverse (2132331311), we get a palindrome (13445654431).

It can be divided in two parts, 11313 and 323120, that added together give a palindrome (334433).

The spelling of 11313323120 in words is "eleven billion, three hundred thirteen million, three hundred twenty-three thousand, one hundred twenty".