13011220040 has 128 divisors (see below), whose sum is σ = 37273824000. Its totient is φ = 3975810048.

The previous prime is 13011220039. The next prime is 13011220049. The reversal of 13011220040 is 4002211031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 13011219997 and 13011220024.

It is not an unprimeable number, because it can be changed into a prime (13011220049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43931 + ... + 167189.

It is an arithmetic number, because the mean of its divisors is an integer number (291201750).

Almost surely, 2^13011220040 is an apocalyptic number.

13011220040 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 13011220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18636912000).

13011220040 is an abundant number, since it is smaller than the sum of its proper divisors (24262603960).

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

13011220040 is a wasteful number, since it uses less digits than its factorization.

13011220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123319 (or 123315 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13011220040 its reverse (4002211031), we get a palindrome (17013431071).

Subtracting from 13011220040 its reverse (4002211031), we obtain a palindrome (9009009009).

The spelling of 13011220040 in words is "thirteen billion, eleven million, two hundred twenty thousand, forty".