13040100304 has 180 divisors, whose sum is σ = 32648668164. Its totient is φ = 5026560000.

The previous prime is 13040100289. The next prime is 13040100329. The reversal of 13040100304 is 40300104031.

It can be written as a sum of positive squares in 2 ways, for example, as 7978062400 + 5062037904 = 89320^2 + 71148^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9580584 + ... + 9581944.

Almost surely, 2^13040100304 is an apocalyptic number.

13040100304 is a gapful number since it is divisible by the number (14) 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 13040100304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16324334082).

13040100304 is an abundant number, since it is smaller than the sum of its proper divisors (19608567860).

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

13040100304 is a wasteful number, since it uses less digits than its factorization.

13040100304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13040100304 its reverse (40300104031), we get a palindrome (53340204335).

The spelling of 13040100304 in words is "thirteen billion, forty million, one hundred thousand, three hundred four".