11013301233000 has 768 divisors, whose sum is σ = 43224193658880. Its totient is φ = 2499609600000.

The previous prime is 11013301232959. The next prime is 11013301233047. The reversal of 11013301233000 is 33210331011.

It is a happy number.

11013301233000 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 330 + 1 + 2 + 330 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321435870 + ... + 321470130.

It is an arithmetic number, because the mean of its divisors is an integer number (56281502160).

Almost surely, 2^{11013301233000} is an apocalyptic number.

11013301233000 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 11013301233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21612096829440).

11013301233000 is an abundant number, since it is smaller than the sum of its proper divisors (32210892425880).

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

11013301233000 is a wasteful number, since it uses less digits than its factorization.

11013301233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34507 (or 34490 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11013301233000 its reverse (33210331011), we get a palindrome (11046511564011).

The spelling of 11013301233000 in words is "eleven trillion, thirteen billion, three hundred one million, two hundred thirty-three thousand".