1032013033002 has 160 divisors (see below), whose sum is σ = 2657262034944. Its totient is φ = 294465553200.

The previous prime is 1032013032997. The next prime is 1032013033049. The reversal of 1032013033002 is 2003303102301.

1032013033002 is a `hidden beast` number, since 1 + 0 + 320 + 13 + 0 + 330 + 0 + 2 = 666.

It is a super-2 number, since 2×1032013033002² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 251034927 + ... + 251039037.

Almost surely, 2^{1032013033002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032013033002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328631017472).

1032013033002 is an abundant number, since it is smaller than the sum of its proper divisors (1625249001942).

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

1032013033002 is an frugal number, since it uses more digits than its factorization.

1032013033002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5034 counting only the distinct ones).

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

Adding to 1032013033002 its reverse (2003303102301), we get a palindrome (3035316135303).

The spelling of 1032013033002 in words is "one trillion, thirty-two billion, thirteen million, thirty-three thousand, two".