1002013233232 has 320 divisors, whose sum is σ = 2371190734080. Its totient is φ = 404855193600.

The previous prime is 1002013233173. The next prime is 1002013233239. The reversal of 1002013233232 is 2323323102001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002013233239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1166487619 + ... + 1166488477.

It is an arithmetic number, because the mean of its divisors is an integer number (7409971044).

Almost surely, 2^{1002013233232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002013233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185595367040).

1002013233232 is an abundant number, since it is smaller than the sum of its proper divisors (1369177500848).

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

1002013233232 is a wasteful number, since it uses less digits than its factorization.

1002013233232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1002013233232 its reverse (2323323102001), we get a palindrome (3325336335233).

The spelling of 1002013233232 in words is "one trillion, two billion, thirteen million, two hundred thirty-three thousand, two hundred thirty-two".