1331233101001 has 2 divisors, whose sum is σ = 1331233101002. Its totient is φ = 1331233101000.

The previous prime is 1331233100959. The next prime is 1331233101047. The reversal of 1331233101001 is 1001013321331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1328542085376 + 2691015625 = 1152624^2 + 51875^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331233101001 - 2⁹ = 1331233100489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1331233101001.

It is not a weakly prime, because it can be changed into another prime (1331233101901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665616550500 + 665616550501.

It is an arithmetic number, because the mean of its divisors is an integer number (665616550501).

Almost surely, 2^{1331233101001} is an apocalyptic number.

It is an amenable number.

1331233101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331233101001 is an equidigital number, since it uses as much as digits as its factorization.

1331233101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1331233101001 its reverse (1001013321331), we get a palindrome (2332246422332).

The spelling of 1331233101001 in words is "one trillion, three hundred thirty-one billion, two hundred thirty-three million, one hundred one thousand, one".