11332103303120 has 40 divisors (see below), whose sum is σ = 26349839012040. Its totient is φ = 4532377006080.

The previous prime is 11332103303113. The next prime is 11332103303123. The reversal of 11332103303120 is 2130330123311.

It can be written as a sum of positive squares in 4 ways, for example, as 1005623884864 + 10326479418256 = 1002808^2 + 3213484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332103303123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6468521 + ... + 8031560.

It is an arithmetic number, because the mean of its divisors is an integer number (658745975301).

Almost surely, 2^{11332103303120} is an apocalyptic number.

11332103303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332103303120 is an abundant number, since it is smaller than the sum of its proper divisors (15017735708920).

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

11332103303120 is a wasteful number, since it uses less digits than its factorization.

11332103303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14509863 (or 14509857 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 11332103303120 its reverse (2130330123311), we get a palindrome (13462433426431).

The spelling of 11332103303120 in words is "eleven trillion, three hundred thirty-two billion, one hundred three million, three hundred three thousand, one hundred twenty".