1322131314 has 32 divisors (see below), whose sum is σ = 3023677440. Its totient is φ = 377543952.

The previous prime is 1322131313. The next prime is 1322131331. The reversal of 1322131314 is 4131312231.

It is a super-3 number, since 3×1322131314³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1322131313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79017 + ... + 94275.

It is an arithmetic number, because the mean of its divisors is an integer number (94489920).

Almost surely, 2^1322131314 is an apocalyptic number.

1322131314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1322131314 is an abundant number, since it is smaller than the sum of its proper divisors (1701546126).

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

1322131314 is a wasteful number, since it uses less digits than its factorization.

1322131314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17334.

The product of its digits is 432, while the sum is 21.

The square root of 1322131314 is about 36361.1236625053. The cubic root of 1322131314 is about 1097.5513892255.

Adding to 1322131314 its reverse (4131312231), we get a palindrome (5453443545).

The spelling of 1322131314 in words is "one billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred fourteen".