1032013313232 has 160 divisors (see below), whose sum is σ = 2938768335360. Its totient is φ = 309473256960.

The previous prime is 1032013313231. The next prime is 1032013313239. The reversal of 1032013313232 is 2323133102301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032013313231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47584663 + ... + 47606345.

It is an arithmetic number, because the mean of its divisors is an integer number (18367302096).

Almost surely, 2^{1032013313232} is an apocalyptic number.

1032013313232 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 1032013313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469384167680).

1032013313232 is an abundant number, since it is smaller than the sum of its proper divisors (1906755022128).

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

1032013313232 is a wasteful number, since it uses less digits than its factorization.

1032013313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22641 (or 22635 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1032013313232 its reverse (2323133102301), we get a palindrome (3355146415533).

The spelling of 1032013313232 in words is "one trillion, thirty-two billion, thirteen million, three hundred thirteen thousand, two hundred thirty-two".