1331314414344 has 40 divisors (see below), whose sum is σ = 3728913060510. Its totient is φ = 443771471232.

The previous prime is 1331314414307. The next prime is 1331314414379. The reversal of 1331314414344 is 4434144131331.

1331314414344 is a `hidden beast` number, since 1 + 3 + 3 + 131 + 441 + 43 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 928929716100 + 402384698244 = 963810^2 + 634338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1331314414299 and 1331314414308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1027248129 + ... + 1027249424.

Almost surely, 2^{1331314414344} is an apocalyptic number.

It is an amenable number.

1331314414344 is an abundant number, since it is smaller than the sum of its proper divisors (2397598646166).

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

1331314414344 is a wasteful number, since it uses less digits than its factorization.

1331314414344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054497571 (or 2054497558 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 1331314414344 its reverse (4434144131331), we get a palindrome (5765458545675).

The spelling of 1331314414344 in words is "one trillion, three hundred thirty-one billion, three hundred fourteen million, four hundred fourteen thousand, three hundred forty-four".