11301010264657 has 2 divisors, whose sum is σ = 11301010264658. Its totient is φ = 11301010264656.

The previous prime is 11301010264559. The next prime is 11301010264667. The reversal of 11301010264657 is 75646201010311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7409697749776 + 3891312514881 = 2722076^2 + 1972641^2 .

It is an emirp because it is prime and its reverse (75646201010311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11301010264657 - 2⁷ = 11301010264529 is a prime.

It is not a weakly prime, because it can be changed into another prime (11301010264667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5650505132328 + 5650505132329.

It is an arithmetic number, because the mean of its divisors is an integer number (5650505132329).

Almost surely, 2^{11301010264657} is an apocalyptic number.

It is an amenable number.

11301010264657 is a deficient number, since it is larger than the sum of its proper divisors (1).

11301010264657 is an equidigital number, since it uses as much as digits as its factorization.

11301010264657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

Adding to 11301010264657 its reverse (75646201010311), we get a palindrome (86947211274968).

The spelling of 11301010264657 in words is "eleven trillion, three hundred one billion, ten million, two hundred sixty-four thousand, six hundred fifty-seven".