13331120130133 has 32 divisors (see below), whose sum is σ = 14646434755680. Its totient is φ = 12058791183360.

The previous prime is 13331120130131. The next prime is 13331120130149. The reversal of 13331120130133 is 33103102113331.

It can be written as a sum of positive squares in 16 ways, for example, as 5752672731729 + 7578447398404 = 2398473^2 + 2752898^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331120130133 - 2¹ = 13331120130131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13331120130098 and 13331120130107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331120130131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270509691 + ... + 270558967.

It is an arithmetic number, because the mean of its divisors is an integer number (457701086115).

Almost surely, 2^{13331120130133} is an apocalyptic number.

13331120130133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13331120130133 is a deficient number, since it is larger than the sum of its proper divisors (1315314625547).

13331120130133 is a wasteful number, since it uses less digits than its factorization.

13331120130133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50617.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13331120130133 its reverse (33103102113331), we get a palindrome (46434222243464).

The spelling of 13331120130133 in words is "thirteen trillion, three hundred thirty-one billion, one hundred twenty million, one hundred thirty thousand, one hundred thirty-three".