13264333532145 has 12 divisors (see below), whose sum is σ = 22991511455796. Its totient is φ = 7074311217120.

The previous prime is 13264333532129. The next prime is 13264333532161. The reversal of 13264333532145 is 54123533346231.

13264333532145 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 43 + 33 + 532 + 1 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (13264333532129) and next prime (13264333532161).

It can be written as a sum of positive squares in 2 ways, for example, as 4958455644081 + 8305877888064 = 2226759^2 + 2881992^2 .

It is not a de Polignac number, because 13264333532145 - 2⁴ = 13264333532129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 294762967381 = 13264333532145 / (1 + 3 + 2 + 6 + 4 + 3 + 3 + 3 + 5 + 3 + 2 + 1 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 13264333532145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147381483646 + ... + 147381483735.

It is an arithmetic number, because the mean of its divisors is an integer number (1915959287983).

Almost surely, 2^{13264333532145} is an apocalyptic number.

13264333532145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13264333532145 is a deficient number, since it is larger than the sum of its proper divisors (9727177923651).

13264333532145 is a wasteful number, since it uses less digits than its factorization.

13264333532145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294762967392 (or 294762967389 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 45.

Adding to 13264333532145 its reverse (54123533346231), we get a palindrome (67387866878376).

The spelling of 13264333532145 in words is "thirteen trillion, two hundred sixty-four billion, three hundred thirty-three million, five hundred thirty-two thousand, one hundred forty-five".