11132120131121 has 32 divisors (see below), whose sum is σ = 12573863165952. Its totient is φ = 9764010000000.

The previous prime is 11132120131063. The next prime is 11132120131163. The reversal of 11132120131121 is 12113102123111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11132120131121 is a prime.

It is a super-2 number, since 2×11132120131121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11132120131093 and 11132120131102.

It is not an unprimeable number, because it can be changed into a prime (11132120131021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213228821 + ... + 213281021.

It is an arithmetic number, because the mean of its divisors is an integer number (392933223936).

Almost surely, 2^{11132120131121} is an apocalyptic number.

11132120131121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11132120131121 is a deficient number, since it is larger than the sum of its proper divisors (1441743034831).

11132120131121 is a wasteful number, since it uses less digits than its factorization.

11132120131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54125.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 11132120131121 its reverse (12113102123111), we get a palindrome (23245222254232).

The spelling of 11132120131121 in words is "eleven trillion, one hundred thirty-two billion, one hundred twenty million, one hundred thirty-one thousand, one hundred twenty-one".