14112333132001 has 64 divisors (see below), whose sum is σ = 16030287201600. Its totient is φ = 12338117738496.

The previous prime is 14112333131989. The next prime is 14112333132013. The reversal of 14112333132001 is 10023133321141.

It is an interprime number because it is at equal distance from previous prime (14112333131989) and next prime (14112333132013).

It can be written as a sum of positive squares in 32 ways, for example, as 9392907096225 + 4719426035776 = 3064785^2 + 2172424^2 .

It is a cyclic number.

It is not a de Polignac number, because 14112333132001 - 2¹¹ = 14112333129953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14112333132061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801418485 + ... + 801436093.

It is an arithmetic number, because the mean of its divisors is an integer number (250473237525).

Almost surely, 2^{14112333132001} is an apocalyptic number.

It is an amenable number.

14112333132001 is a deficient number, since it is larger than the sum of its proper divisors (1917954069599).

14112333132001 is a wasteful number, since it uses less digits than its factorization.

14112333132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18038.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 14112333132001 its reverse (10023133321141), we get a palindrome (24135466453142).

The spelling of 14112333132001 in words is "fourteen trillion, one hundred twelve billion, three hundred thirty-three million, one hundred thirty-two thousand, one".