11301333131353 has 2 divisors, whose sum is σ = 11301333131354. Its totient is φ = 11301333131352.

The previous prime is 11301333131321. The next prime is 11301333131381. The reversal of 11301333131353 is 35313133310311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10450821269529 + 850511861824 = 3232773^2 + 922232^2 .

It is an emirp because it is prime and its reverse (35313133310311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11301333131353 - 2⁵ = 11301333131321 is a prime.

It is a super-2 number, since 2×11301333131353² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11301333131303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5650666565676 + 5650666565677.

It is an arithmetic number, because the mean of its divisors is an integer number (5650666565677).

Almost surely, 2^{11301333131353} is an apocalyptic number.

It is an amenable number.

11301333131353 is a deficient number, since it is larger than the sum of its proper divisors (1).

11301333131353 is an equidigital number, since it uses as much as digits as its factorization.

11301333131353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10935, while the sum is 31.

Adding to 11301333131353 its reverse (35313133310311), we get a palindrome (46614466441664).

The spelling of 11301333131353 in words is "eleven trillion, three hundred one billion, three hundred thirty-three million, one hundred thirty-one thousand, three hundred fifty-three".