13133144030020 has 144 divisors (see below), whose sum is σ = 32857364098944. Its totient is φ = 4318973568000.

The previous prime is 13133144030011. The next prime is 13133144030089. The reversal of 13133144030020 is 2003044133131.

It is a super-2 number, since 2×13133144030020² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14771095 + ... + 15634945.

It is an arithmetic number, because the mean of its divisors is an integer number (228176139576).

Almost surely, 2^{13133144030020} is an apocalyptic number.

13133144030020 is a gapful number since it is divisible by the number (10) 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 13133144030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428682049472).

13133144030020 is an abundant number, since it is smaller than the sum of its proper divisors (19724220068924).

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

13133144030020 is a wasteful number, since it uses less digits than its factorization.

13133144030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864042 (or 864009 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13133144030020 its reverse (2003044133131), we get a palindrome (15136188163151).

The spelling of 13133144030020 in words is "thirteen trillion, one hundred thirty-three billion, one hundred forty-four million, thirty thousand, twenty".