1313031330001 has 2 divisors, whose sum is σ = 1313031330002. Its totient is φ = 1313031330000.

The previous prime is 1313031329963. The next prime is 1313031330007. The reversal of 1313031330001 is 1000331303131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1242912819600 + 70118510401 = 1114860^2 + 264799^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313031330001 - 2¹⁷ = 1313031198929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313031330007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656515665000 + 656515665001.

It is an arithmetic number, because the mean of its divisors is an integer number (656515665001).

Almost surely, 2^{1313031330001} is an apocalyptic number.

It is an amenable number.

1313031330001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313031330001 is an equidigital number, since it uses as much as digits as its factorization.

1313031330001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 1313031330001 its reverse (1000331303131), we get a palindrome (2313362633132).

It can be divided in two parts, 1313031 and 330001, that added together give a cube (1643032 = 118³).

The spelling of 1313031330001 in words is "one trillion, three hundred thirteen billion, thirty-one million, three hundred thirty thousand, one".