14133101313132 has 144 divisors (see below), whose sum is σ = 37775614356480. Its totient is φ = 4448293718400.

The previous prime is 14133101313119. The next prime is 14133101313143. The reversal of 14133101313132 is 23131310133141.

14133101313132 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 310 + 1 + 31 + 313 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14133101313096 and 14133101313105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45000219 + ... + 45313197.

Almost surely, 2^{14133101313132} is an apocalyptic number.

14133101313132 is a gapful number since it is divisible by the number (12) 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 14133101313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18887807178240).

14133101313132 is an abundant number, since it is smaller than the sum of its proper divisors (23642513043348).

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

14133101313132 is a wasteful number, since it uses less digits than its factorization.

14133101313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314004 (or 313999 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 14133101313132 its reverse (23131310133141), we get a palindrome (37264411446273).

The spelling of 14133101313132 in words is "fourteen trillion, one hundred thirty-three billion, one hundred one million, three hundred thirteen thousand, one hundred thirty-two".