1331001013 has 2 divisors, whose sum is σ = 1331001014. Its totient is φ = 1331001012.

The previous prime is 1331001011. The next prime is 1331001017. The reversal of 1331001013 is 3101001331.

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., 1198336689 + 132664324 = 34617^2 + 11518^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331001013 - 2¹ = 1331001011 is a prime.

It is a super-3 number, since 3×1331001013³ (a number of 28 digits) contains 333 as substring.

Together with 1331001011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1331000984 and 1331001002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665500506 + 665500507.

It is an arithmetic number, because the mean of its divisors is an integer number (665500507).

Almost surely, 2^1331001013 is an apocalyptic number.

It is an amenable number.

1331001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331001013 is an equidigital number, since it uses as much as digits as its factorization.

1331001013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1331001013 is about 36482.8865771337. The cubic root of 1331001013 is about 1100.0002790633. Note that the first 3 decimals are identical.

Adding to 1331001013 its reverse (3101001331), we get a palindrome (4432002344).

The spelling of 1331001013 in words is "one billion, three hundred thirty-one million, one thousand, thirteen".