11132001331121 has 24 divisors (see below), whose sum is σ = 12960006112872. Its totient is φ = 9521590003200.

The previous prime is 11132001331069. The next prime is 11132001331193. The reversal of 11132001331121 is 12113310023111.

It can be written as a sum of positive squares in 4 ways, for example, as 7233351081121 + 3898650250000 = 2689489^2 + 1974500^2 .

It is not a de Polignac number, because 11132001331121 - 2³⁴ = 11114821461937 is a prime.

It is a super-4 number, since 4×11132001331121⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11132001331093 and 11132001331102.

It is not an unprimeable number, because it can be changed into a prime (11132001331921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5412491 + ... + 7180463.

It is an arithmetic number, because the mean of its divisors is an integer number (540000254703).

Almost surely, 2^{11132001331121} is an apocalyptic number.

11132001331121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11132001331121 is a deficient number, since it is larger than the sum of its proper divisors (1828004781751).

11132001331121 is a wasteful number, since it uses less digits than its factorization.

11132001331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771073 (or 1771062 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 11132001331121 its reverse (12113310023111), we get a palindrome (23245311354232).

The spelling of 11132001331121 in words is "eleven trillion, one hundred thirty-two billion, one million, three hundred thirty-one thousand, one hundred twenty-one".