10097238313 has 2 divisors, whose sum is σ = 10097238314. Its totient is φ = 10097238312.

The previous prime is 10097238227. The next prime is 10097238323. The reversal of 10097238313 is 31383279001.

10097238313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8725054464 + 1372183849 = 93408^2 + 37043^2 .

It is a cyclic number.

It is not a de Polignac number, because 10097238313 - 2²⁵ = 10063683881 is a prime.

It is not a weakly prime, because it can be changed into another prime (10097238323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5048619156 + 5048619157.

It is an arithmetic number, because the mean of its divisors is an integer number (5048619157).

Almost surely, 2^10097238313 is an apocalyptic number.

10097238313 is the 53712-nd centered heptagonal number.

It is an amenable number.

10097238313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10097238313 is an equidigital number, since it uses as much as digits as its factorization.

10097238313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 10097238313 in words is "ten billion, ninety-seven million, two hundred thirty-eight thousand, three hundred thirteen".