11333313120 has 192 divisors, whose sum is σ = 36776436480. Its totient is φ = 2931591168.

The previous prime is 11333313113. The next prime is 11333313137. The reversal of 11333313120 is 2131333311.

It is a congruent number.

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, 7440679 + ... + 7442201.

It is an arithmetic number, because the mean of its divisors is an integer number (191543940).

Almost surely, 2^11333313120 is an apocalyptic number.

11333313120 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 11333313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388218240).

11333313120 is an abundant number, since it is smaller than the sum of its proper divisors (25443123360).

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

11333313120 is a wasteful number, since it uses less digits than its factorization.

11333313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 11333313120 its reverse (2131333311), we get a palindrome (13464646431).

The spelling of 11333313120 in words is "eleven billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred twenty".