1331410214214 has 96 divisors (see below), whose sum is σ = 3112718678784. Its totient is φ = 410281185600.

The previous prime is 1331410214171. The next prime is 1331410214243. The reversal of 1331410214214 is 4124120141331.

It is a happy number.

1331410214214 is a `hidden beast` number, since 1 + 3 + 31 + 410 + 2 + 1 + 4 + 214 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1017289 + ... + 1922939.

It is an arithmetic number, because the mean of its divisors is an integer number (32424152904).

Almost surely, 2^{1331410214214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331410214214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556359339392).

1331410214214 is an abundant number, since it is smaller than the sum of its proper divisors (1781308464570).

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

1331410214214 is a wasteful number, since it uses less digits than its factorization.

1331410214214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905802 (or 905799 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1331410214214 its reverse (4124120141331), we get a palindrome (5455530355545).

The spelling of 1331410214214 in words is "one trillion, three hundred thirty-one billion, four hundred ten million, two hundred fourteen thousand, two hundred fourteen".