13331101300128 has 36 divisors (see below), whose sum is σ = 37910319323058. Its totient is φ = 4443700433280.

The previous prime is 13331101300103. The next prime is 13331101300129. The reversal of 13331101300128 is 82100310113331.

It is a happy number.

13331101300128 is a `hidden beast` number, since 1 + 3 + 331 + 1 + 0 + 1 + 300 + 1 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11982037634064 + 1349063666064 = 3461508^2 + 1161492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (13331101300129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23144272803 + ... + 23144273378.

Almost surely, 2^{13331101300128} is an apocalyptic number.

13331101300128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13331101300128 is an abundant number, since it is smaller than the sum of its proper divisors (24579218022930).

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

13331101300128 is a wasteful number, since it uses less digits than its factorization.

13331101300128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46288546197 (or 46288546186 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 13331101300128 its reverse (82100310113331), we get a palindrome (95431411413459).

The spelling of 13331101300128 in words is "thirteen trillion, three hundred thirty-one billion, one hundred one million, three hundred thousand, one hundred twenty-eight".