1331334014121 has 12 divisors (see below), whose sum is σ = 1923051645060. Its totient is φ = 887549721120.

The previous prime is 1331334014119. The next prime is 1331334014123. The reversal of 1331334014121 is 1214104331331.

1331334014121 is a `hidden beast` number, since 1 + 3 + 3 + 133 + 401 + 4 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (1331334014119) and next prime (1331334014123).

It can be written as a sum of positive squares in 2 ways, for example, as 1303022250000 + 28311764121 = 1141500^2 + 168261^2 .

It is not a de Polignac number, because 1331334014121 - 2¹ = 1331334014119 is a prime.

It is a super-3 number, since 3×1331334014121³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331334014123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1073011 + ... + 1952951.

It is an arithmetic number, because the mean of its divisors is an integer number (160254303755).

Almost surely, 2^{1331334014121} is an apocalyptic number.

It is an amenable number.

1331334014121 is a deficient number, since it is larger than the sum of its proper divisors (591717630939).

1331334014121 is a wasteful number, since it uses less digits than its factorization.

1331334014121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048056 (or 1048053 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1331334014121 its reverse (1214104331331), we get a palindrome (2545438345452).

The spelling of 1331334014121 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-four million, fourteen thousand, one hundred twenty-one".