1001330211137 has 2 divisors, whose sum is σ = 1001330211138. Its totient is φ = 1001330211136.

The previous prime is 1001330211107. The next prime is 1001330211139. The reversal of 1001330211137 is 7311120331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 582182734081 + 419147477056 = 763009^2 + 647416^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001330211137 - 2²⁴ = 1001313433921 is a prime.

Together with 1001330211139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1001330211139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500665105568 + 500665105569.

It is an arithmetic number, because the mean of its divisors is an integer number (500665105569).

Almost surely, 2^{1001330211137} is an apocalyptic number.

It is an amenable number.

1001330211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001330211137 is an equidigital number, since it uses as much as digits as its factorization.

1001330211137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 1001330211137 its reverse (7311120331001), we get a palindrome (8312450542138).

The spelling of 1001330211137 in words is "one trillion, one billion, three hundred thirty million, two hundred eleven thousand, one hundred thirty-seven".