10266801324337 has 2 divisors, whose sum is σ = 10266801324338. Its totient is φ = 10266801324336.

The previous prime is 10266801324313. The next prime is 10266801324389. The reversal of 10266801324337 is 73342310866201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8008877360016 + 2257923964321 = 2829996^2 + 1502639^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10266801324337 is a prime.

It is a super-4 number, since 4×10266801324337⁴ (a number of 53 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (10266801324397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5133400662168 + 5133400662169.

It is an arithmetic number, because the mean of its divisors is an integer number (5133400662169).

Almost surely, 2^{10266801324337} is an apocalyptic number.

It is an amenable number.

10266801324337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10266801324337 is an equidigital number, since it uses as much as digits as its factorization.

10266801324337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 10266801324337 in words is "ten trillion, two hundred sixty-six billion, eight hundred one million, three hundred twenty-four thousand, three hundred thirty-seven".