12315433451321 has 32 divisors (see below), whose sum is σ = 16806479483136. Its totient is φ = 8713036512000.

The previous prime is 12315433451317. The next prime is 12315433451339.

It is a happy number.

12315433451321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12315433451321 - 2² = 12315433451317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12315433451311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 100784270 + ... + 100906391.

It is an arithmetic number, because the mean of its divisors is an integer number (525202483848).

Almost surely, 2^{12315433451321} is an apocalyptic number.

12315433451321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12315433451321 is a deficient number, since it is larger than the sum of its proper divisors (4491046031815).

12315433451321 is a wasteful number, since it uses less digits than its factorization.

12315433451321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201690753.

The product of its digits is 129600, while the sum is 38.

It can be divided in two parts, 1231543 and 3451321, that added together give a palindrome (4682864).

The spelling of 12315433451321 in words is "twelve trillion, three hundred fifteen billion, four hundred thirty-three million, four hundred fifty-one thousand, three hundred twenty-one".