13121232040 has 128 divisors (see below), whose sum is σ = 35756640000. Its totient is φ = 4233074688.

The previous prime is 13121232023. The next prime is 13121232053. The reversal of 13121232040 is 4023212131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 13121231999 and 13121232017.

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, 784404 + ... + 800956.

It is an arithmetic number, because the mean of its divisors is an integer number (279348750).

Almost surely, 2^13121232040 is an apocalyptic number.

13121232040 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 13121232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17878320000).

13121232040 is an abundant number, since it is smaller than the sum of its proper divisors (22635407960).

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

13121232040 is a wasteful number, since it uses less digits than its factorization.

13121232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16739 (or 16735 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13121232040 its reverse (4023212131), we get a palindrome (17144444171).

The spelling of 13121232040 in words is "thirteen billion, one hundred twenty-one million, two hundred thirty-two thousand, forty".