13332310013331 has 16 divisors (see below), whose sum is σ = 20285396618400. Its totient is φ = 8647984872864.

The previous prime is 13332310013311. The next prime is 13332310013377. The reversal of 13332310013331 is 13331001323331.

13332310013331 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 310 + 0 + 13 + 331 = 666.

It is not a de Polignac number, because 13332310013331 - 2⁷ = 13332310013203 is a prime.

It is a super-2 number, since 2×13332310013331² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13332310013295 and 13332310013304.

It is not an unprimeable number, because it can be changed into a prime (13332310013311) by changing a digit.

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, 6672826836 + ... + 6672828833.

It is an arithmetic number, because the mean of its divisors is an integer number (1267837288650).

Almost surely, 2^{13332310013331} is an apocalyptic number.

13332310013331 is a deficient number, since it is larger than the sum of its proper divisors (6953086605069).

13332310013331 is a wasteful number, since it uses less digits than its factorization.

13332310013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345655715 (or 13345655709 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13332310013331 its reverse (13331001323331), we get a palindrome (26663311336662).

The spelling of 13332310013331 in words is "thirteen trillion, three hundred thirty-two billion, three hundred ten million, thirteen thousand, three hundred thirty-one".