1331133133009 has 2 divisors, whose sum is σ = 1331133133010. Its totient is φ = 1331133133008.

The previous prime is 1331133132997. The next prime is 1331133133063. The reversal of 1331133133009 is 9003313311331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1303832841025 + 27300291984 = 1141855^2 + 165228^2 .

It is an emirp because it is prime and its reverse (9003313311331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1331133133009 - 2⁵ = 1331133132977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1331133133079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665566566504 + 665566566505.

It is an arithmetic number, because the mean of its divisors is an integer number (665566566505).

Almost surely, 2^{1331133133009} is an apocalyptic number.

It is an amenable number.

1331133133009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331133133009 is an equidigital number, since it uses as much as digits as its factorization.

1331133133009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6561, while the sum is 31.

The spelling of 1331133133009 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-three million, one hundred thirty-three thousand, nine".