1331332333117 has 2 divisors, whose sum is σ = 1331332333118. Its totient is φ = 1331332333116.

The previous prime is 1331332333013. The next prime is 1331332333129. The reversal of 1331332333117 is 7113332331331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1013603954841 + 317728378276 = 1006779^2 + 563674^2 .

It is an emirp because it is prime and its reverse (7113332331331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1331332333117 - 2²⁷ = 1331198115389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331332333147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665666166558 + 665666166559.

It is an arithmetic number, because the mean of its divisors is an integer number (665666166559).

Almost surely, 2^{1331332333117} is an apocalyptic number.

It is an amenable number.

1331332333117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331332333117 is an equidigital number, since it uses as much as digits as its factorization.

1331332333117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30618, while the sum is 34.

Adding to 1331332333117 its reverse (7113332331331), we get a palindrome (8444664664448).

The spelling of 1331332333117 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-two million, three hundred thirty-three thousand, one hundred seventeen".