1132213124133 has 192 divisors, whose sum is σ = 2149106319360. Its totient is φ = 558028652544.

The previous prime is 1132213124117. The next prime is 1132213124137. The reversal of 1132213124133 is 3314213122311.

1132213124133 is a `hidden beast` number, since 1 + 1 + 32 + 213 + 1 + 2 + 413 + 3 = 666.

It is not a de Polignac number, because 1132213124133 - 2⁴ = 1132213124117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1132213124097 and 1132213124106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132213124137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 680824860 + ... + 680826522.

It is an arithmetic number, because the mean of its divisors is an integer number (11193262080).

Almost surely, 2^{1132213124133} is an apocalyptic number.

1132213124133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1132213124133 is a deficient number, since it is larger than the sum of its proper divisors (1016893195227).

1132213124133 is a wasteful number, since it uses less digits than its factorization.

1132213124133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2525 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1132213124133 its reverse (3314213122311), we get a palindrome (4446426246444).

The spelling of 1132213124133 in words is "one trillion, one hundred thirty-two billion, two hundred thirteen million, one hundred twenty-four thousand, one hundred thirty-three".