11133021010320 has 120 divisors (see below), whose sum is σ = 40787340639552. Its totient is φ = 2698914182400.

The previous prime is 11133021010261. The next prime is 11133021010337. The reversal of 11133021010320 is 2301012033111.

11133021010320 is a `hidden beast` number, since 1 + 1 + 1 + 330 + 2 + 1 + 0 + 10 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 11133021010293 and 11133021010302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702834316 + ... + 702850155.

Almost surely, 2^{11133021010320} is an apocalyptic number.

11133021010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133021010320 is an abundant number, since it is smaller than the sum of its proper divisors (29654319629232).

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

11133021010320 is a wasteful number, since it uses less digits than its factorization.

11133021010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405684501 (or 1405684492 counting only the distinct ones).

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

Adding to 11133021010320 its reverse (2301012033111), we get a palindrome (13434033043431).

The spelling of 11133021010320 in words is "eleven trillion, one hundred thirty-three billion, twenty-one million, ten thousand, three hundred twenty".