1314313133322 has 192 divisors, whose sum is σ = 3221136543744. Its totient is φ = 350100092160.

The previous prime is 1314313133291. The next prime is 1314313133323. The reversal of 1314313133322 is 2233313134131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1314313133322.

It is not an unprimeable number, because it can be changed into a prime (1314313133323) 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 95 ways as a sum of consecutive naturals, for example, 1008681723 + ... + 1008683025.

It is an arithmetic number, because the mean of its divisors is an integer number (16776752832).

Almost surely, 2^{1314313133322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314313133322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610568271872).

1314313133322 is an abundant number, since it is smaller than the sum of its proper divisors (1906823410422).

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

1314313133322 is a wasteful number, since it uses less digits than its factorization.

1314313133322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2342 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 1314313133322 its reverse (2233313134131), we get a palindrome (3547626267453).

The spelling of 1314313133322 in words is "one trillion, three hundred fourteen billion, three hundred thirteen million, one hundred thirty-three thousand, three hundred twenty-two".