13225153123332 has 72 divisors (see below), whose sum is σ = 33762833139672. Its totient is φ = 4364531136000.

The previous prime is 13225153123313. The next prime is 13225153123333. The reversal of 13225153123332 is 23332135152231.

13225153123332 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 5 + 1 + 5 + 312 + 3 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7642924693056 + 5582228430276 = 2764584^2 + 2362674^2 .

It is a super-3 number, since 3×13225153123332³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13225153123333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90030328 + ... + 90177104.

It is an arithmetic number, because the mean of its divisors is an integer number (468928238051).

Almost surely, 2^{13225153123332} is an apocalyptic number.

13225153123332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13225153123332 is an abundant number, since it is smaller than the sum of its proper divisors (20537680016340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13225153123332 is a wasteful number, since it uses less digits than its factorization.

13225153123332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171669 (or 171664 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 13225153123332 its reverse (23332135152231), we get a palindrome (36557288275563).

The spelling of 13225153123332 in words is "thirteen trillion, two hundred twenty-five billion, one hundred fifty-three million, one hundred twenty-three thousand, three hundred thirty-two".