11303011333120 has 352 divisors, whose sum is σ = 29883957143040. Its totient is φ = 4076704235520.

The previous prime is 11303011333109. The next prime is 11303011333129. The reversal of 11303011333120 is 2133311030311.

11303011333120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11303011333091 and 11303011333100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303011333129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515096869 + ... + 515118811.

It is an arithmetic number, because the mean of its divisors is an integer number (84897605520).

Almost surely, 2^{11303011333120} is an apocalyptic number.

11303011333120 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 11303011333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941978571520).

11303011333120 is an abundant number, since it is smaller than the sum of its proper divisors (18580945809920).

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

11303011333120 is a wasteful number, since it uses less digits than its factorization.

11303011333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22161 (or 22143 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 11303011333120 its reverse (2133311030311), we get a palindrome (13436322363431).

The spelling of 11303011333120 in words is "eleven trillion, three hundred three billion, eleven million, three hundred thirty-three thousand, one hundred twenty".