13303013011020 has 72 divisors (see below), whose sum is σ = 40426243616304. Its totient is φ = 3540984789888.

The previous prime is 13303013010949. The next prime is 13303013011021. The reversal of 13303013011020 is 2011031030331.

It is a happy number.

13303013011020 is a `hidden beast` number, since 1 + 3 + 30 + 301 + 301 + 10 + 20 = 666.

13303013011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13303013010984 and 13303013011002.

It is not an unprimeable number, because it can be changed into a prime (13303013011021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67456959 + ... + 67653878.

It is an arithmetic number, because the mean of its divisors is an integer number (561475605782).

Almost surely, 2^{13303013011020} is an apocalyptic number.

13303013011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13303013011020 is an abundant number, since it is smaller than the sum of its proper divisors (27123230605284).

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

13303013011020 is a wasteful number, since it uses less digits than its factorization.

13303013011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135111399 (or 135111394 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13303013011020 its reverse (2011031030331), we get a palindrome (15314044041351).

The spelling of 13303013011020 in words is "thirteen trillion, three hundred three billion, thirteen million, eleven thousand, twenty".