11301133322311 has 16 divisors (see below), whose sum is σ = 12963566963520. Its totient is φ = 9650703525120.

The previous prime is 11301133322309. The next prime is 11301133322333. The reversal of 11301133322311 is 11322333110311.

It is not a de Polignac number, because 11301133322311 - 2¹ = 11301133322309 is a prime.

It is a super-2 number, since 2×11301133322311² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301131322311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18486201 + ... + 19087741.

It is an arithmetic number, because the mean of its divisors is an integer number (810222935220).

Almost surely, 2^{11301133322311} is an apocalyptic number.

11301133322311 is a deficient number, since it is larger than the sum of its proper divisors (1662433641209).

11301133322311 is an equidigital number, since it uses as much as digits as its factorization.

11301133322311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611514.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 11301133322311 its reverse (11322333110311), we get a palindrome (22623466432622).

The spelling of 11301133322311 in words is "eleven trillion, three hundred one billion, one hundred thirty-three million, three hundred twenty-two thousand, three hundred eleven".