13331000320133 has 6 divisors (see below), whose sum is σ = 13935809408934. Its totient is φ = 12751391610056.

The previous prime is 13331000320129. The next prime is 13331000320151. The reversal of 13331000320133 is 33102300013331.

13331000320133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9651597316804 + 3679403003329 = 3106702^2 + 1918177^2 .

It is not a de Polignac number, because 13331000320133 - 2² = 13331000320129 is a prime.

It is a super-2 number, since 2×13331000320133² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13331000320099 and 13331000320108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331000320103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12600188810 + ... + 12600189867.

It is an arithmetic number, because the mean of its divisors is an integer number (2322634901489).

Almost surely, 2^{13331000320133} is an apocalyptic number.

It is an amenable number.

13331000320133 is a deficient number, since it is larger than the sum of its proper divisors (604809088801).

13331000320133 is an equidigital number, since it uses as much as digits as its factorization.

13331000320133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25200378723 (or 25200378700 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 13331000320133 its reverse (33102300013331), we get a palindrome (46433300333464).

The spelling of 13331000320133 in words is "thirteen trillion, three hundred thirty-one billion, three hundred twenty thousand, one hundred thirty-three".