13114133210420 has 96 divisors (see below), whose sum is σ = 30757534133760. Its totient is φ = 4655899376640.

The previous prime is 13114133210419. The next prime is 13114133210443. The reversal of 13114133210420 is 2401233141131.

It is a self number, because there is not a number n which added to its sum of digits gives 13114133210420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2678582 + ... + 5779538.

It is an arithmetic number, because the mean of its divisors is an integer number (320390980560).

Almost surely, 2^{13114133210420} is an apocalyptic number.

13114133210420 is a gapful number since it is divisible by the number (10) 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 13114133210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15378767066880).

13114133210420 is an abundant number, since it is smaller than the sum of its proper divisors (17643400923340).

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

13114133210420 is a wasteful number, since it uses less digits than its factorization.

13114133210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101433 (or 3101431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 13114133210420 its reverse (2401233141131), we get a palindrome (15515366351551).

The spelling of 13114133210420 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-three million, two hundred ten thousand, four hundred twenty".