1011133132032 has 72 divisors (see below), whose sum is σ = 2692524735040. Its totient is φ = 336864522240.

The previous prime is 1011133131991. The next prime is 1011133132039. The reversal of 1011133132032 is 2302313311101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011133132039) 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 7 ways as a sum of consecutive naturals, for example, 1092732 + ... + 1793412.

Almost surely, 2^{1011133132032} is an apocalyptic number.

1011133132032 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 1011133132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346262367520).

1011133132032 is an abundant number, since it is smaller than the sum of its proper divisors (1681391603008).

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

1011133132032 is an equidigital number, since it uses as much as digits as its factorization.

1011133132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702579 (or 702565 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1011133132032 its reverse (2302313311101), we get a palindrome (3313446443133).

The spelling of 1011133132032 in words is "one trillion, eleven billion, one hundred thirty-three million, one hundred thirty-two thousand, thirty-two".