11033031042000 has 720 divisors, whose sum is σ = 44656360542144. Its totient is φ = 2517327360000.

The previous prime is 11033031041959. The next prime is 11033031042001. The reversal of 11033031042000 is 24013033011.

11033031042000 is a `hidden beast` number, since 1 + 1 + 0 + 330 + 310 + 4 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033031042001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57125595 + ... + 57318405.

Almost surely, 2^{11033031042000} is an apocalyptic number.

11033031042000 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 11033031042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22328180271072).

11033031042000 is an abundant number, since it is smaller than the sum of its proper divisors (33623329500144).

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

11033031042000 is a wasteful number, since it uses less digits than its factorization.

11033031042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192885 (or 192849 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11033031042000 its reverse (24013033011), we get a palindrome (11057044075011).

The spelling of 11033031042000 in words is "eleven trillion, thirty-three billion, thirty-one million, forty-two thousand".