1331311414314 has 128 divisors (see below), whose sum is σ = 3346325176320. Its totient is φ = 344528510400.

The previous prime is 1331311414247. The next prime is 1331311414319. The reversal of 1331311414314 is 4134141131331.

It is not an unprimeable number, because it can be changed into a prime (1331311414319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1729059 + ... + 2377449.

It is an arithmetic number, because the mean of its divisors is an integer number (26143165440).

Almost surely, 2^{1331311414314} is an apocalyptic number.

1331311414314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331311414314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673162588160).

1331311414314 is an abundant number, since it is smaller than the sum of its proper divisors (2015013762006).

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

1331311414314 is a wasteful number, since it uses less digits than its factorization.

1331311414314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648536.

The product of its digits is 5184, while the sum is 30.

Adding to 1331311414314 its reverse (4134141131331), we get a palindrome (5465452545645).

The spelling of 1331311414314 in words is "one trillion, three hundred thirty-one billion, three hundred eleven million, four hundred fourteen thousand, three hundred fourteen".