132014012500314 has 64 divisors (see below), whose sum is σ = 335279160852480. Its totient is φ = 37717672975920.

The previous prime is 132014012500301. The next prime is 132014012500361. The reversal of 132014012500314 is 413005210410231.

132014012500314 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 401 + 250 + 0 + 3 + 1 + 4 = 666.

It is a super-2 number, since 2×132014012500314² (a number of 29 digits) contains 22 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20564887 + ... + 26209589.

It is an arithmetic number, because the mean of its divisors is an integer number (5238736888320).

Almost surely, 2^{132014012500314} is an apocalyptic number.

132014012500314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132014012500314 is an abundant number, since it is smaller than the sum of its proper divisors (203265148352166).

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

132014012500314 is a wasteful number, since it uses less digits than its factorization.

132014012500314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706592 (or 5706586 counting only the distinct ones).

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

Adding to 132014012500314 its reverse (413005210410231), we get a palindrome (545019222910545).

The spelling of 132014012500314 in words is "one hundred thirty-two trillion, fourteen billion, twelve million, five hundred thousand, three hundred fourteen".