106312323213601 has 2 divisors, whose sum is σ = 106312323213602. Its totient is φ = 106312323213600.

The previous prime is 106312323213589. The next prime is 106312323213623.

106312323213601 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76057934054400 + 30254389159201 = 8721120^2 + 5500399^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106312323213601 is a prime.

It is a super-2 number, since 2×106312323213601² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106312323513601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53156161606800 + 53156161606801.

It is an arithmetic number, because the mean of its divisors is an integer number (53156161606801).

Almost surely, 2^{106312323213601} is an apocalyptic number.

It is an amenable number.

106312323213601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106312323213601 is an equidigital number, since it uses as much as digits as its factorization.

106312323213601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 106312323213601 in words is "one hundred six trillion, three hundred twelve billion, three hundred twenty-three million, two hundred thirteen thousand, six hundred one".