13330003132032 has 64 divisors (see below), whose sum is σ = 37490633827200. Its totient is φ = 4181961764864.

The previous prime is 13330003132001. The next prime is 13330003132037. The reversal of 13330003132032 is 23023130003331.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 13330003131993 and 13330003132011.

It is not an unprimeable number, because it can be changed into a prime (13330003132037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1020980232 + ... + 1020993287.

It is an arithmetic number, because the mean of its divisors is an integer number (585791153550).

Almost surely, 2^{13330003132032} is an apocalyptic number.

13330003132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13330003132032 is an abundant number, since it is smaller than the sum of its proper divisors (24160630695168).

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

13330003132032 is a wasteful number, since it uses less digits than its factorization.

13330003132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041973553 (or 2041973541 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13330003132032 its reverse (23023130003331), we get a palindrome (36353133135363).

The spelling of 13330003132032 in words is "thirteen trillion, three hundred thirty billion, three million, one hundred thirty-two thousand, thirty-two".