1313101131313 has 2 divisors, whose sum is σ = 1313101131314. Its totient is φ = 1313101131312.

The previous prime is 1313101131299. The next prime is 1313101131347. The reversal of 1313101131313 is 3131311013131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1131951300624 + 181149830689 = 1063932^2 + 425617^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313101131313 - 2⁹ = 1313101130801 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313101131373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656550565656 + 656550565657.

It is an arithmetic number, because the mean of its divisors is an integer number (656550565657).

Almost surely, 2^{1313101131313} is an apocalyptic number.

It is an amenable number.

1313101131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313101131313 is an equidigital number, since it uses as much as digits as its factorization.

1313101131313 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 22.

Adding to 1313101131313 its reverse (3131311013131), we get a palindrome (4444412144444).

The spelling of 1313101131313 in words is "one trillion, three hundred thirteen billion, one hundred one million, one hundred thirty-one thousand, three hundred thirteen".