132114430401041 has 64 divisors (see below), whose sum is σ = 157729379328000. Its totient is φ = 109308639847680.

The previous prime is 132114430401001. The next prime is 132114430401047. The reversal of 132114430401041 is 140104034411231.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-132114430401041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132114430400995 and 132114430401013.

It is not an unprimeable number, because it can be changed into a prime (132114430401047) 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 63 ways as a sum of consecutive naturals, for example, 1771574831 + ... + 1771649403.

It is an arithmetic number, because the mean of its divisors is an integer number (2464521552000).

Almost surely, 2^{132114430401041} is an apocalyptic number.

132114430401041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132114430401041 is a deficient number, since it is larger than the sum of its proper divisors (25614948926959).

132114430401041 is a wasteful number, since it uses less digits than its factorization.

132114430401041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76094.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 132114430401041 its reverse (140104034411231), we get a palindrome (272218464812272).

The spelling of 132114430401041 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred thirty million, four hundred one thousand, forty-one".