132114013124101 has 8 divisors (see below), whose sum is σ = 136805119392600. Its totient is φ = 127431936898560.

The previous prime is 132114013124089. The next prime is 132114013124141. The reversal of 132114013124101 is 101421310411231.

It can be written as a sum of positive squares in 4 ways, for example, as 42806334449025 + 89307678675076 = 6542655^2 + 9450274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132114013124101 - 2³¹ = 132111865640453 is a prime.

It is a super-2 number, since 2×132114013124101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114013124141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2257480960 + ... + 2257539481.

It is an arithmetic number, because the mean of its divisors is an integer number (17100639924075).

Almost surely, 2^{132114013124101} is an apocalyptic number.

It is an amenable number.

132114013124101 is a deficient number, since it is larger than the sum of its proper divisors (4691106268499).

132114013124101 is a wasteful number, since it uses less digits than its factorization.

132114013124101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515021479.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 132114013124101 its reverse (101421310411231), we get a palindrome (233535323535332).

The spelling of 132114013124101 in words is "one hundred thirty-two trillion, one hundred fourteen billion, thirteen million, one hundred twenty-four thousand, one hundred one".