11133120213000 has 768 divisors, whose sum is σ = 39569401497600. Its totient is φ = 2819577600000.

The previous prime is 11133120212989. The next prime is 11133120213023. The reversal of 11133120213000 is 31202133111.

11133120213000 is a `hidden beast` number, since 1 + 1 + 1 + 331 + 202 + 130 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4296841705 + ... + 4296844295.

It is an arithmetic number, because the mean of its divisors is an integer number (51522658200).

Almost surely, 2^{11133120213000} is an apocalyptic number.

11133120213000 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 11133120213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19784700748800).

11133120213000 is an abundant number, since it is smaller than the sum of its proper divisors (28436281284600).

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

11133120213000 is a wasteful number, since it uses less digits than its factorization.

11133120213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11133120213000 its reverse (31202133111), we get a palindrome (11164322346111).

The spelling of 11133120213000 in words is "eleven trillion, one hundred thirty-three billion, one hundred twenty million, two hundred thirteen thousand".