1331013331301 has 2 divisors, whose sum is σ = 1331013331302. Its totient is φ = 1331013331300.

The previous prime is 1331013331231. The next prime is 1331013331321. The reversal of 1331013331301 is 1031333101331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1141209339076 + 189803992225 = 1068274^2 + 435665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1331013331301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331013331321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665506665650 + 665506665651.

It is an arithmetic number, because the mean of its divisors is an integer number (665506665651).

Almost surely, 2^{1331013331301} is an apocalyptic number.

It is an amenable number.

1331013331301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331013331301 is an equidigital number, since it uses as much as digits as its factorization.

1331013331301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 1331013331301 its reverse (1031333101331), we get a palindrome (2362346432632).

The spelling of 1331013331301 in words is "one trillion, three hundred thirty-one billion, thirteen million, three hundred thirty-one thousand, three hundred one".