13313233102032 has 120 divisors (see below), whose sum is σ = 37381564900680. Its totient is φ = 4423102709760.

The previous prime is 13313233102027. The next prime is 13313233102087. The reversal of 13313233102032 is 23020133231331.

13313233102032 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 323 + 310 + 20 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2076953674896 + 11236279427136 = 1441164^2 + 3352056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13313233101987 and 13313233102005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150829432 + ... + 150917672.

It is an arithmetic number, because the mean of its divisors is an integer number (311513040839).

Almost surely, 2^{13313233102032} is an apocalyptic number.

13313233102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313233102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18690782450340).

13313233102032 is an abundant number, since it is smaller than the sum of its proper divisors (24068331798648).

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

13313233102032 is a wasteful number, since it uses less digits than its factorization.

13313233102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91701 (or 91692 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13313233102032 its reverse (23020133231331), we get a palindrome (36333366333363).

The spelling of 13313233102032 in words is "thirteen trillion, three hundred thirteen billion, two hundred thirty-three million, one hundred two thousand, thirty-two".