13212321032313 has 24 divisors (see below), whose sum is σ = 21313703069568. Its totient is φ = 8130659094864.

The previous prime is 13212321032311. The next prime is 13212321032327. The reversal of 13212321032313 is 31323012321231.

13212321032313 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 321 + 0 + 323 + 13 = 666.

It is not a de Polignac number, because 13212321032313 - 2¹ = 13212321032311 is a prime.

It is a super-4 number, since 4×13212321032313⁴ (a number of 54 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13212321032311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2091215745 + ... + 2091222062.

It is an arithmetic number, because the mean of its divisors is an integer number (888070961232).

Almost surely, 2^{13212321032313} is an apocalyptic number.

13212321032313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13212321032313 is a deficient number, since it is larger than the sum of its proper divisors (8101382037255).

13212321032313 is an equidigital number, since it uses as much as digits as its factorization.

13212321032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182437835 (or 4182437823 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13212321032313 its reverse (31323012321231), we get a palindrome (44535333353544).

The spelling of 13212321032313 in words is "thirteen trillion, two hundred twelve billion, three hundred twenty-one million, thirty-two thousand, three hundred thirteen".