13111412003430 has 256 divisors, whose sum is σ = 36299986652160. Its totient is φ = 3004155648000.

The previous prime is 13111412003383. The next prime is 13111412003441. The reversal of 13111412003430 is 3430021411131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13111412003430.

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 127 ways as a sum of consecutive naturals, for example, 97974844 + ... + 98108576.

It is an arithmetic number, because the mean of its divisors is an integer number (141796822860).

Almost surely, 2^{13111412003430} is an apocalyptic number.

13111412003430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111412003430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18149993326080).

13111412003430 is an abundant number, since it is smaller than the sum of its proper divisors (23188574648730).

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

13111412003430 is a wasteful number, since it uses less digits than its factorization.

13111412003430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134007.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13111412003430 its reverse (3430021411131), we get a palindrome (16541433414561).

The spelling of 13111412003430 in words is "thirteen trillion, one hundred eleven billion, four hundred twelve million, three thousand, four hundred thirty".