13130013204 has 288 divisors, whose sum is σ = 43051357440. Its totient is φ = 3273984000.

The previous prime is 13130013187. The next prime is 13130013287. The reversal of 13130013204 is 40231003131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18730054 + ... + 18730754.

It is an arithmetic number, because the mean of its divisors is an integer number (149483880).

Almost surely, 2^13130013204 is an apocalyptic number.

13130013204 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 13130013204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21525678720).

13130013204 is an abundant number, since it is smaller than the sum of its proper divisors (29921344236).

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

13130013204 is a wasteful number, since it uses less digits than its factorization.

13130013204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13130013204 its reverse (40231003131), we get a palindrome (53361016335).

The spelling of 13130013204 in words is "thirteen billion, one hundred thirty million, thirteen thousand, two hundred four".