11300100033120 has 96 divisors (see below), whose sum is σ = 35603605362528. Its totient is φ = 3012658188288.

The previous prime is 11300100033109. The next prime is 11300100033121. The reversal of 11300100033120 is 2133000100311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11300100033120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300100033121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 676779 + ... + 4801898.

It is an arithmetic number, because the mean of its divisors is an integer number (370870889193).

Almost surely, 2^{11300100033120} is an apocalyptic number.

11300100033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300100033120 is an abundant number, since it is smaller than the sum of its proper divisors (24303505329408).

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

11300100033120 is a wasteful number, since it uses less digits than its factorization.

11300100033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482992 (or 5482984 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11300100033120 its reverse (2133000100311), we get a palindrome (13433100133431).

The spelling of 11300100033120 in words is "eleven trillion, three hundred billion, one hundred million, thirty-three thousand, one hundred twenty".