1311414331331 has 16 divisors (see below), whose sum is σ = 1461043217760. Its totient is φ = 1168752775680.

The previous prime is 1311414331327. The next prime is 1311414331351. The reversal of 1311414331331 is 1331334141131.

It is a cyclic number.

It is not a de Polignac number, because 1311414331331 - 2² = 1311414331327 is a prime.

It is a super-2 number, since 2×1311414331331² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311414331294 and 1311414331303.

It is not an unprimeable number, because it can be changed into a prime (1311414331301) 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, 17244116 + ... + 17319998.

It is an arithmetic number, because the mean of its divisors is an integer number (91315201110).

Almost surely, 2^{1311414331331} is an apocalyptic number.

1311414331331 is a deficient number, since it is larger than the sum of its proper divisors (149628886429).

1311414331331 is a wasteful number, since it uses less digits than its factorization.

1311414331331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121766.

The product of its digits is 3888, while the sum is 29.

Adding to 1311414331331 its reverse (1331334141131), we get a palindrome (2642748472462).

The spelling of 1311414331331 in words is "one trillion, three hundred eleven billion, four hundred fourteen million, three hundred thirty-one thousand, three hundred thirty-one".