13002333032000 has 112 divisors (see below), whose sum is σ = 34677222473712. Its totient is φ = 4800861388800.

The previous prime is 13002333031931. The next prime is 13002333032011. The reversal of 13002333032000 is 23033320031.

It can be written as a sum of positive squares in 8 ways, for example, as 2450126522944 + 10552206509056 = 1565288^2 + 3248416^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62407217 + ... + 62615216.

It is an arithmetic number, because the mean of its divisors is an integer number (309618057801).

Almost surely, 2^{13002333032000} is an apocalyptic number.

13002333032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13002333032000 is an abundant number, since it is smaller than the sum of its proper divisors (21674889441712).

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

13002333032000 is a wasteful number, since it uses less digits than its factorization.

13002333032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125022473 (or 125022453 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 13002333032000 its reverse (23033320031), we get a palindrome (13025366352031).

The spelling of 13002333032000 in words is "thirteen trillion, two billion, three hundred thirty-three million, thirty-two thousand".