13333120040 has 128 divisors (see below), whose sum is σ = 33118848000. Its totient is φ = 4810917888.

The previous prime is 13333120027. The next prime is 13333120063. The reversal of 13333120040 is 4002133331.

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 = 13333119994 and 13333120021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1604777 + ... + 1613063.

It is an arithmetic number, because the mean of its divisors is an integer number (258741000).

Almost surely, 2^13333120040 is an apocalyptic number.

13333120040 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 13333120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16559424000).

13333120040 is an abundant number, since it is smaller than the sum of its proper divisors (19785727960).

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

13333120040 is a wasteful number, since it uses less digits than its factorization.

13333120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8419 (or 8415 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13333120040 its reverse (4002133331), we get a palindrome (17335253371).

The spelling of 13333120040 in words is "thirteen billion, three hundred thirty-three million, one hundred twenty thousand, forty".