11133010303020 has 72 divisors (see below), whose sum is σ = 33770619005760. Its totient is φ = 2968759868160.

The previous prime is 11133010302959. The next prime is 11133010303031. The reversal of 11133010303020 is 2030301033111.

It is a happy number.

11133010303020 is a `hidden beast` number, since 1 + 1 + 1 + 330 + 1 + 0 + 30 + 302 + 0 = 666.

It is a super-2 number, since 2×11133010303020² (a number of 27 digits) contains 22 as substring.

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 = 11133010302984 and 11133010303002.

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 23 ways as a sum of consecutive naturals, for example, 13206541 + ... + 14024219.

It is an arithmetic number, because the mean of its divisors is an integer number (469036375080).

Almost surely, 2^{11133010303020} is an apocalyptic number.

11133010303020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133010303020 is an abundant number, since it is smaller than the sum of its proper divisors (22637608702740).

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

11133010303020 is a wasteful number, since it uses less digits than its factorization.

11133010303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893335 (or 893330 counting only the distinct ones).

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

Adding to 11133010303020 its reverse (2030301033111), we get a palindrome (13163311336131).

The spelling of 11133010303020 in words is "eleven trillion, one hundred thirty-three billion, ten million, three hundred three thousand, twenty".