13130004004420 has 24 divisors (see below), whose sum is σ = 27574459426584. Its totient is φ = 5251725217536.

The previous prime is 13130004004391. The next prime is 13130004004423. The reversal of 13130004004420 is 2440040003131.

13130004004420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 821793014784 + 12308210989636 = 906528^2 + 3508306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13130004004391 and 13130004004400.

It is not an unprimeable number, because it can be changed into a prime (13130004004423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16884249 + ... + 17644768.

It is an arithmetic number, because the mean of its divisors is an integer number (1148935809441).

Almost surely, 2^{13130004004420} is an apocalyptic number.

13130004004420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130004004420 is an abundant number, since it is smaller than the sum of its proper divisors (14444455422164).

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

13130004004420 is a wasteful number, since it uses less digits than its factorization.

13130004004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34548039 (or 34548037 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13130004004420 its reverse (2440040003131), we get a palindrome (15570044007551).

The spelling of 13130004004420 in words is "thirteen trillion, one hundred thirty billion, four million, four thousand, four hundred twenty".