1012133055132 has 72 divisors (see below), whose sum is σ = 2628434790800. Its totient is φ = 328154416128.

The previous prime is 1012133055119. The next prime is 1012133055133. The reversal of 1012133055132 is 2315503312101.

1012133055132 is a `hidden beast` number, since 1 + 0 + 12 + 133 + 0 + 5 + 513 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1012133055096 and 1012133055105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012133055133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4101219 + ... + 4340997.

Almost surely, 2^{1012133055132} is an apocalyptic number.

1012133055132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012133055132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314217395400).

1012133055132 is an abundant number, since it is smaller than the sum of its proper divisors (1616301735668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012133055132 is a wasteful number, since it uses less digits than its factorization.

1012133055132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242995 (or 242990 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 1012133055132 its reverse (2315503312101), we get a palindrome (3327636367233).

The spelling of 1012133055132 in words is "one trillion, twelve billion, one hundred thirty-three million, fifty-five thousand, one hundred thirty-two".