313114002008653 has 2 divisors, whose sum is σ = 313114002008654. Its totient is φ = 313114002008652.

The previous prime is 313114002008627. The next prime is 313114002008699. The reversal of 313114002008653 is 356800200411313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 303687886249449 + 9426115759204 = 17426643^2 + 3070198^2 .

It is a cyclic number.

It is not a de Polignac number, because 313114002008653 - 2²⁹ = 313113465137741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313114002003653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156557001004326 + 156557001004327.

It is an arithmetic number, because the mean of its divisors is an integer number (156557001004327).

Almost surely, 2^{313114002008653} is an apocalyptic number.

It is an amenable number.

313114002008653 is a deficient number, since it is larger than the sum of its proper divisors (1).

313114002008653 is an equidigital number, since it uses as much as digits as its factorization.

313114002008653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 37.

Adding to 313114002008653 its reverse (356800200411313), we get a palindrome (669914202419966).

The spelling of 313114002008653 in words is "three hundred thirteen trillion, one hundred fourteen billion, two million, eight thousand, six hundred fifty-three".