11133001223010 has 256 divisors, whose sum is σ = 32337672192000. Its totient is φ = 2715149652480.

The previous prime is 11133001222969. The next prime is 11133001223023. The reversal of 11133001223010 is 1032210033111.

11133001223010 is a `hidden beast` number, since 1 + 11 + 330 + 0 + 1 + 22 + 301 + 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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64957689 + ... + 65128851.

It is an arithmetic number, because the mean of its divisors is an integer number (126319032000).

Almost surely, 2^{11133001223010} is an apocalyptic number.

11133001223010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133001223010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168836096000).

11133001223010 is an abundant number, since it is smaller than the sum of its proper divisors (21204670968990).

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

11133001223010 is a wasteful number, since it uses less digits than its factorization.

11133001223010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171638 (or 171632 counting only the distinct ones).

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

Adding to 11133001223010 its reverse (1032210033111), we get a palindrome (12165211256121).

The spelling of 11133001223010 in words is "eleven trillion, one hundred thirty-three billion, one million, two hundred twenty-three thousand, ten".