13133103113533 has 16 divisors (see below), whose sum is σ = 14375494058800. Its totient is φ = 11923884910080.

The previous prime is 13133103113467. The next prime is 13133103113569. The reversal of 13133103113533 is 33531130133131.

It can be written as a sum of positive squares in 8 ways, for example, as 683799994084 + 12449303119449 = 826922^2 + 3528357^2 .

It is not a de Polignac number, because 13133103113533 - 2⁹ = 13133103113021 is a prime.

It is a super-3 number, since 3×13133103113533³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13133103113495 and 13133103113504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133103113033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46812883 + ... + 47092591.

It is an arithmetic number, because the mean of its divisors is an integer number (898468378675).

Almost surely, 2^{13133103113533} is an apocalyptic number.

13133103113533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13133103113533 is a deficient number, since it is larger than the sum of its proper divisors (1242390945267).

13133103113533 is a wasteful number, since it uses less digits than its factorization.

13133103113533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338992.

The product of its (nonzero) digits is 10935, while the sum is 31.

Adding to 13133103113533 its reverse (33531130133131), we get a palindrome (46664233246664).

The spelling of 13133103113533 in words is "thirteen trillion, one hundred thirty-three billion, one hundred three million, one hundred thirteen thousand, five hundred thirty-three".