13031202342004 has 288 divisors, whose sum is σ = 29758411307520. Its totient is φ = 4883517112320.

The previous prime is 13031202341909. The next prime is 13031202342023. The reversal of 13031202342004 is 40024320213031.

It is a self number, because there is not a number n which added to its sum of digits gives 13031202342004.

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, 6898465092 + ... + 6898466980.

It is an arithmetic number, because the mean of its divisors is an integer number (103327817040).

Almost surely, 2^{13031202342004} is an apocalyptic number.

13031202342004 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 13031202342004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879205653760).

13031202342004 is an abundant number, since it is smaller than the sum of its proper divisors (16727208965516).

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

13031202342004 is a wasteful number, since it uses less digits than its factorization.

13031202342004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13031202342004 its reverse (40024320213031), we get a palindrome (53055522555035).

The spelling of 13031202342004 in words is "thirteen trillion, thirty-one billion, two hundred two million, three hundred forty-two thousand, four".