1032112321133 has 12 divisors (see below), whose sum is σ = 1066738301244. Its totient is φ = 998576712000.

The previous prime is 1032112321081. The next prime is 1032112321171. The reversal of 1032112321133 is 3311232112301.

It can be written as a sum of positive squares in 2 ways, for example, as 18117698404 + 1013994622729 = 134602^2 + 1006973^2 .

It is not a de Polignac number, because 1032112321133 - 2¹² = 1032112317037 is a prime.

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 = 1032112321099 and 1032112321108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032112323133) 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 11 ways as a sum of consecutive naturals, for example, 3909335 + ... + 4164987.

It is an arithmetic number, because the mean of its divisors is an integer number (88894858437).

Almost surely, 2^{1032112321133} is an apocalyptic number.

It is an amenable number.

1032112321133 is a deficient number, since it is larger than the sum of its proper divisors (34625980111).

1032112321133 is an equidigital number, since it uses as much as digits as its factorization.

1032112321133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259916 (or 259885 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1032112321133 its reverse (3311232112301), we get a palindrome (4343344433434).

The spelling of 1032112321133 in words is "one trillion, thirty-two billion, one hundred twelve million, three hundred twenty-one thousand, one hundred thirty-three".