1002013303032 has 256 divisors, whose sum is σ = 3322637107200. Its totient is φ = 273566747520.

The previous prime is 1002013303021. The next prime is 1002013303037. The reversal of 1002013303032 is 2303033102001.

1002013303032 is a `hidden beast` number, since 10 + 0 + 20 + 1 + 330 + 303 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002013302996 and 1002013303014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002013303037) 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 63 ways as a sum of consecutive naturals, for example, 35840083 + ... + 35868029.

It is an arithmetic number, because the mean of its divisors is an integer number (12979051200).

Almost surely, 2^{1002013303032} is an apocalyptic number.

1002013303032 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 1002013303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661318553600).

1002013303032 is an abundant number, since it is smaller than the sum of its proper divisors (2320623804168).

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

1002013303032 is a wasteful number, since it uses less digits than its factorization.

1002013303032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29023 (or 29013 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1002013303032 its reverse (2303033102001), we get a palindrome (3305046405033).

The spelling of 1002013303032 in words is "one trillion, two billion, thirteen million, three hundred three thousand, thirty-two".