1313001332113 has 2 divisors, whose sum is σ = 1313001332114. Its totient is φ = 1313001332112.

The previous prime is 1313001332107. The next prime is 1313001332117. The reversal of 1313001332113 is 3112331003131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 959044158864 + 353957173249 = 979308^2 + 594943^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313001332113 - 2³³ = 1304411397521 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313001332117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656500666056 + 656500666057.

It is an arithmetic number, because the mean of its divisors is an integer number (656500666057).

Almost surely, 2^{1313001332113} is an apocalyptic number.

It is an amenable number.

1313001332113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313001332113 is an equidigital number, since it uses as much as digits as its factorization.

1313001332113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1313001332113 its reverse (3112331003131), we get a palindrome (4425332335244).

The spelling of 1313001332113 in words is "one trillion, three hundred thirteen billion, one million, three hundred thirty-two thousand, one hundred thirteen".