97107106037813 has 2 divisors, whose sum is σ = 97107106037814. Its totient is φ = 97107106037812.

The previous prime is 97107106037759. The next prime is 97107106037867. The reversal of 97107106037813 is 31873060170179.

It is a balanced prime because it is at equal distance from previous prime (97107106037759) and next prime (97107106037867).

It can be written as a sum of positive squares in only one way, i.e., 71766684996484 + 25340421041329 = 8471522^2 + 5033927^2 .

It is a cyclic number.

It is not a de Polignac number, because 97107106037813 - 2⁴² = 92709059526709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97107106033813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48553553018906 + 48553553018907.

It is an arithmetic number, because the mean of its divisors is an integer number (48553553018907).

Almost surely, 2^{97107106037813} is an apocalyptic number.

It is an amenable number.

97107106037813 is a deficient number, since it is larger than the sum of its proper divisors (1).

97107106037813 is an equidigital number, since it uses as much as digits as its factorization.

97107106037813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1333584, while the sum is 53.

The spelling of 97107106037813 in words is "ninety-seven trillion, one hundred seven billion, one hundred six million, thirty-seven thousand, eight hundred thirteen".