11333011121000 has 64 divisors (see below), whose sum is σ = 28079201713680. Its totient is φ = 4266545356800.

The previous prime is 11333011120987. The next prime is 11333011121021. The reversal of 11333011121000 is 12111033311.

It can be written as a sum of positive squares in 8 ways, for example, as 2557114413604 + 8775896707396 = 1599098^2 + 2962414^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 11333011121000.

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 15 ways as a sum of consecutive naturals, for example, 333306857 + ... + 333340856.

Almost surely, 2^{11333011121000} is an apocalyptic number.

11333011121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11333011121000 is an abundant number, since it is smaller than the sum of its proper divisors (16746190592680).

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

11333011121000 is a wasteful number, since it uses less digits than its factorization.

11333011121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666647751 (or 666647737 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 11333011121000 its reverse (12111033311), we get a palindrome (11345122154311).

The spelling of 11333011121000 in words is "eleven trillion, three hundred thirty-three billion, eleven million, one hundred twenty-one thousand".