11133211023000 has 256 divisors, whose sum is σ = 42103780992000. Its totient is φ = 2698960176000.

The previous prime is 11133211022963. The next prime is 11133211023041. The reversal of 11133211023000 is 32011233111.

11133211023000 is a `hidden beast` number, since 1 + 113 + 321 + 1 + 0 + 230 + 0 + 0 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18445780 + ... + 19039779.

It is an arithmetic number, because the mean of its divisors is an integer number (164467894500).

Almost surely, 2^{11133211023000} is an apocalyptic number.

11133211023000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133211023000 is an abundant number, since it is smaller than the sum of its proper divisors (30970569969000).

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

11133211023000 is a wasteful number, since it uses less digits than its factorization.

11133211023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37485600 (or 37485580 counting only the distinct ones).

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

Adding to 11133211023000 its reverse (32011233111), we get a palindrome (11165222256111).

The spelling of 11133211023000 in words is "eleven trillion, one hundred thirty-three billion, two hundred eleven million, twenty-three thousand".