13430413003014 has 144 divisors (see below), whose sum is σ = 34710196051440. Its totient is φ = 3739948692480.

The previous prime is 13430413003009. The next prime is 13430413003019. The reversal of 13430413003014 is 41030031403431.

13430413003014 is a `hidden beast` number, since 1 + 343 + 0 + 4 + 1 + 300 + 3 + 0 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (13430413003009) and next prime (13430413003019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430413003019) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36303417 + ... + 36671499.

It is an arithmetic number, because the mean of its divisors is an integer number (241043028135).

Almost surely, 2^{13430413003014} is an apocalyptic number.

13430413003014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13430413003014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17355098025720).

13430413003014 is an abundant number, since it is smaller than the sum of its proper divisors (21279783048426).

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

13430413003014 is a wasteful number, since it uses less digits than its factorization.

13430413003014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369155 (or 369145 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13430413003014 its reverse (41030031403431), we get a palindrome (54460444406445).

The spelling of 13430413003014 in words is "thirteen trillion, four hundred thirty billion, four hundred thirteen million, three thousand, fourteen".