11133031003201 has 2 divisors, whose sum is σ = 11133031003202. Its totient is φ = 11133031003200.

The previous prime is 11133031003183. The next prime is 11133031003217. The reversal of 11133031003201 is 10230013033111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7272061448976 + 3860969554225 = 2696676^2 + 1964935^2 .

It is a cyclic number.

It is not a de Polignac number, because 11133031003201 - 2¹⁷ = 11133030872129 is a prime.

It is not a weakly prime, because it can be changed into another prime (11133031001201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5566515501600 + 5566515501601.

It is an arithmetic number, because the mean of its divisors is an integer number (5566515501601).

Almost surely, 2^{11133031003201} is an apocalyptic number.

It is an amenable number.

11133031003201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11133031003201 is an equidigital number, since it uses as much as digits as its factorization.

11133031003201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11133031003201 its reverse (10230013033111), we get a palindrome (21363044036312).

The spelling of 11133031003201 in words is "eleven trillion, one hundred thirty-three billion, thirty-one million, three thousand, two hundred one".