13312002312 has 96 divisors (see below), whose sum is σ = 41434286400. Its totient is φ = 3782155392.

The previous prime is 13312002283. The next prime is 13312002317. The reversal of 13312002312 is 21320021331.

13312002312 is a `hidden beast` number, since 1 + 331 + 20 + 0 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13312002317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16438 + ... + 163994.

It is an arithmetic number, because the mean of its divisors is an integer number (431607150).

Almost surely, 2^13312002312 is an apocalyptic number.

13312002312 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 13312002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717143200).

13312002312 is an abundant number, since it is smaller than the sum of its proper divisors (28122284088).

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

13312002312 is a wasteful number, since it uses less digits than its factorization.

13312002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147755 (or 147748 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13312002312 its reverse (21320021331), we get a palindrome (34632023643).

The spelling of 13312002312 in words is "thirteen billion, three hundred twelve million, two thousand, three hundred twelve".