13000005103104 has 240 divisors, whose sum is σ = 38615265786240. Its totient is φ = 4208529346560.

The previous prime is 13000005103051. The next prime is 13000005103133. The reversal of 13000005103104 is 40130150000031.

13000005103104 is a `hidden beast` number, since 1 + 300 + 0 + 0 + 0 + 51 + 0 + 310 + 4 = 666.

13000005103104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 21623727 + ... + 22216785.

It is an arithmetic number, because the mean of its divisors is an integer number (160896940776).

Almost surely, 2^{13000005103104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000005103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19307632893120).

13000005103104 is an abundant number, since it is smaller than the sum of its proper divisors (25615260683136).

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

13000005103104 is an equidigital number, since it uses as much as digits as its factorization.

13000005103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593221 (or 593202 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 13000005103104 its reverse (40130150000031), we get a palindrome (53130155103135).

The spelling of 13000005103104 in words is "thirteen trillion, five million, one hundred three thousand, one hundred four".