13001033133020 has 48 divisors (see below), whose sum is σ = 27819467474400. Its totient is φ = 5102226666240.

The previous prime is 13001033132999. The next prime is 13001033133029. The reversal of 13001033133020 is 2033133010031.

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

It is a junction number, because it is equal to n+sod(n) for n = 13001033132983 and 13001033133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001033133029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10222391 + ... + 11423630.

It is an arithmetic number, because the mean of its divisors is an integer number (579572239050).

Almost surely, 2^{13001033133020} is an apocalyptic number.

13001033133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001033133020 is an abundant number, since it is smaller than the sum of its proper divisors (14818434341380).

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

13001033133020 is a wasteful number, since it uses less digits than its factorization.

13001033133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21646598 (or 21646596 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13001033133020 its reverse (2033133010031), we get a palindrome (15034166143051).

The spelling of 13001033133020 in words is "thirteen trillion, one billion, thirty-three million, one hundred thirty-three thousand, twenty".