11131333212120 has 256 divisors, whose sum is σ = 37894252032000. Its totient is φ = 2591056742400.

The previous prime is 11131333212073. The next prime is 11131333212133. The reversal of 11131333212120 is 2121233313111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6125401 + ... + 7731959.

It is an arithmetic number, because the mean of its divisors is an integer number (148024422000).

Almost surely, 2^{11131333212120} is an apocalyptic number.

11131333212120 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 11131333212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18947126016000).

11131333212120 is an abundant number, since it is smaller than the sum of its proper divisors (26762918819880).

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

11131333212120 is a wasteful number, since it uses less digits than its factorization.

11131333212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606794 (or 1606790 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11131333212120 its reverse (2121233313111), we get a palindrome (13252566525231).

The spelling of 11131333212120 in words is "eleven trillion, one hundred thirty-one billion, three hundred thirty-three million, two hundred twelve thousand, one hundred twenty".