13132113102133 has 8 divisors (see below), whose sum is σ = 13138809478488. Its totient is φ = 13125418082304.

The previous prime is 13132113102013. The next prime is 13132113102167. The reversal of 13132113102133 is 33120131123131.

It can be written as a sum of positive squares in 4 ways, for example, as 4491000163204 + 8641112938929 = 2119198^2 + 2939577^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13132113102133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13132113102098 and 13132113102107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132113102733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19316685 + ... + 19984957.

It is an arithmetic number, because the mean of its divisors is an integer number (1642351184811).

Almost surely, 2^{13132113102133} is an apocalyptic number.

It is an amenable number.

13132113102133 is a deficient number, since it is larger than the sum of its proper divisors (6696376355).

13132113102133 is an equidigital number, since it uses as much as digits as its factorization.

13132113102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678263.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 13132113102133 its reverse (33120131123131), we get a palindrome (46252244225264).

The spelling of 13132113102133 in words is "thirteen trillion, one hundred thirty-two billion, one hundred thirteen million, one hundred two thousand, one hundred thirty-three".