13142302232004 has 144 divisors (see below), whose sum is σ = 37099712954304. Its totient is φ = 3888220089600.

The previous prime is 13142302231913. The next prime is 13142302232029. The reversal of 13142302232004 is 40023220324131.

13142302232004 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 230 + 223 + 200 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39560914 + ... + 39891734.

It is an arithmetic number, because the mean of its divisors is an integer number (257636895516).

Almost surely, 2^{13142302232004} 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 13142302232004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549856477152).

13142302232004 is an abundant number, since it is smaller than the sum of its proper divisors (23957410722300).

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

13142302232004 is a wasteful number, since it uses less digits than its factorization.

13142302232004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333218 (or 333213 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13142302232004 its reverse (40023220324131), we get a palindrome (53165522556135).

The spelling of 13142302232004 in words is "thirteen trillion, one hundred forty-two billion, three hundred two million, two hundred thirty-two thousand, four".