13004313140 has 192 divisors, whose sum is σ = 34355155968. Its totient is φ = 4025548800.

The previous prime is 13004313109. The next prime is 13004313143. The reversal of 13004313140 is 4131340031.

It is a super-2 number, since 2×13004313140² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004313143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20287220 + ... + 20287860.

It is an arithmetic number, because the mean of its divisors is an integer number (178933104).

Almost surely, 2^13004313140 is an apocalyptic number.

13004313140 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 13004313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17177577984).

13004313140 is an abundant number, since it is smaller than the sum of its proper divisors (21350842828).

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

13004313140 is a wasteful number, since it uses less digits than its factorization.

13004313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13004313140 its reverse (4131340031), we get a palindrome (17135653171).

The spelling of 13004313140 in words is "thirteen billion, four million, three hundred thirteen thousand, one hundred forty".