13142103104 has 56 divisors (see below), whose sum is σ = 28141010520. Its totient is φ = 6053474304.

The previous prime is 13142103097. The next prime is 13142103151. The reversal of 13142103104 is 40130124131.

It can be written as a sum of positive squares in 4 ways, for example, as 2524861504 + 10617241600 = 50248^2 + 103040^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407972 + ... + 439004.

It is an arithmetic number, because the mean of its divisors is an integer number (502518045).

Almost surely, 2^13142103104 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 13142103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14070505260).

13142103104 is an abundant number, since it is smaller than the sum of its proper divisors (14998907416).

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

13142103104 is a wasteful number, since it uses less digits than its factorization.

13142103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31567 (or 31557 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13142103104 its reverse (40130124131), we get a palindrome (53272227235).

The spelling of 13142103104 in words is "thirteen billion, one hundred forty-two million, one hundred three thousand, one hundred four".