13430504100114 has 112 divisors (see below), whose sum is σ = 31057075387800. Its totient is φ = 4352066454528.

The previous prime is 13430504100071. The next prime is 13430504100163. The reversal of 13430504100114 is 41100140503431.

13430504100114 is a `hidden beast` number, since 1 + 3 + 4 + 30 + 504 + 10 + 0 + 114 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10670642894025 + 2759861206089 = 3266595^2 + 1661283^2 .

It is a super-3 number, since 3×13430504100114³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7625602 + ... + 9220130.

Almost surely, 2^{13430504100114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13430504100114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528537693900).

13430504100114 is an abundant number, since it is smaller than the sum of its proper divisors (17626571287686).

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

13430504100114 is a wasteful number, since it uses less digits than its factorization.

13430504100114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594711 (or 1594696 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13430504100114 its reverse (41100140503431), we get a palindrome (54530644603545).

The spelling of 13430504100114 in words is "thirteen trillion, four hundred thirty billion, five hundred four million, one hundred thousand, one hundred fourteen".