13000111020 has 144 divisors (see below), whose sum is σ = 43837178112. Its totient is φ = 3096783360.

The previous prime is 13000111001. The next prime is 13000111031. The reversal of 13000111020 is 2011100031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13000110993 and 13000111011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17067 + ... + 162146.

It is an arithmetic number, because the mean of its divisors is an integer number (304424848).

Almost surely, 2^13000111020 is an apocalyptic number.

13000111020 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 13000111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21918589056).

13000111020 is an abundant number, since it is smaller than the sum of its proper divisors (30837067092).

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

13000111020 is a wasteful number, since it uses less digits than its factorization.

13000111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179272 (or 179267 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 13000111020 its reverse (2011100031), we get a palindrome (15011211051).

It can be divided in two parts, 1300011 and 1020, that added together give a palindrome (1301031).

The spelling of 13000111020 in words is "thirteen billion, one hundred eleven thousand, twenty".