13213300303332 has 96 divisors (see below), whose sum is σ = 34741470086400. Its totient is φ = 4342451751936.

The previous prime is 13213300303327. The next prime is 13213300303337. The reversal of 13213300303332 is 23330300331231.

13213300303332 is a `hidden beast` number, since 1 + 3 + 21 + 3 + 3 + 0 + 0 + 303 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (13213300303327) and next prime (13213300303337).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13213300303296 and 13213300303305.

It is not an unprimeable number, because it can be changed into a prime (13213300303337) 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 31 ways as a sum of consecutive naturals, for example, 357294 + ... + 5153082.

It is an arithmetic number, because the mean of its divisors is an integer number (361890313400).

Almost surely, 2^{13213300303332} is an apocalyptic number.

13213300303332 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 13213300303332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17370735043200).

13213300303332 is an abundant number, since it is smaller than the sum of its proper divisors (21528169783068).

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

13213300303332 is a wasteful number, since it uses less digits than its factorization.

13213300303332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796162 (or 4796154 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 13213300303332 its reverse (23330300331231), we get a palindrome (36543600634563).

The spelling of 13213300303332 in words is "thirteen trillion, two hundred thirteen billion, three hundred million, three hundred three thousand, three hundred thirty-two".