110413242314001 has 80 divisors (see below), whose sum is σ = 180313742252160. Its totient is φ = 66775488549120.

The previous prime is 110413242313993. The next prime is 110413242314003. The reversal of 110413242314001 is 100413242314011.

It is a happy number.

110413242314001 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 1 + 3 + 24 + 231 + 400 + 1 = 666.

It is not a de Polignac number, because 110413242314001 - 2³ = 110413242313993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (110413242314003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1463610655 + ... + 1463686091.

It is an arithmetic number, because the mean of its divisors is an integer number (2253921778152).

Almost surely, 2^{110413242314001} is an apocalyptic number.

110413242314001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110413242314001 is a deficient number, since it is larger than the sum of its proper divisors (69900499938159).

110413242314001 is a wasteful number, since it uses less digits than its factorization.

110413242314001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78916 (or 78907 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 110413242314001 its reverse (100413242314011), we get a palindrome (210826484628012).

The spelling of 110413242314001 in words is "one hundred ten trillion, four hundred thirteen billion, two hundred forty-two million, three hundred fourteen thousand, one".