123314100142401 has 128 divisors (see below), whose sum is σ = 221763769344000. Its totient is φ = 66196968000768.

The previous prime is 123314100142397. The next prime is 123314100142501. The reversal of 123314100142401 is 104241001413321.

It is a happy number.

123314100142401 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 410 + 0 + 1 + 4 + 240 + 1 = 666.

It is not a de Polignac number, because 123314100142401 - 2² = 123314100142397 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 (123314100142501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273944751 + ... + 274394523.

It is an arithmetic number, because the mean of its divisors is an integer number (1732529448000).

Almost surely, 2^{123314100142401} is an apocalyptic number.

It is an amenable number.

123314100142401 is a deficient number, since it is larger than the sum of its proper divisors (98449669201599).

123314100142401 is a wasteful number, since it uses less digits than its factorization.

123314100142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450940 (or 450934 counting only the distinct ones).

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

Adding to 123314100142401 its reverse (104241001413321), we get a palindrome (227555101555722).

The spelling of 123314100142401 in words is "one hundred twenty-three trillion, three hundred fourteen billion, one hundred million, one hundred forty-two thousand, four hundred one".