1313010330001 has 2 divisors, whose sum is σ = 1313010330002. Its totient is φ = 1313010330000.

The previous prime is 1313010329933. The next prime is 1313010330029. The reversal of 1313010330001 is 1000330103131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1298266542225 + 14743787776 = 1139415^2 + 121424^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313010330001 - 2²¹ = 1313008232849 is a prime.

It is a super-2 number, since 2×1313010330001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1313010330031) 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, 656505165000 + 656505165001.

It is an arithmetic number, because the mean of its divisors is an integer number (656505165001).

Almost surely, 2^{1313010330001} is an apocalyptic number.

It is an amenable number.

1313010330001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313010330001 is an equidigital number, since it uses as much as digits as its factorization.

1313010330001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1313010330001 its reverse (1000330103131), we get a palindrome (2313340433132).

The spelling of 1313010330001 in words is "one trillion, three hundred thirteen billion, ten million, three hundred thirty thousand, one".