123301440144513 has 6 divisors (see below), whose sum is σ = 178102080208754. Its totient is φ = 82200960096336.

The previous prime is 123301440144431. The next prime is 123301440144563. The reversal of 123301440144513 is 315441044103321.

123301440144513 is a `hidden beast` number, since 1 + 23 + 3 + 0 + 1 + 440 + 144 + 51 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68990848681329 + 54310591463184 = 8306073^2 + 7369572^2 .

It is not a de Polignac number, because 123301440144513 - 2⁸ = 123301440144257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123301440144563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6850080008020 + ... + 6850080008037.

Almost surely, 2^{123301440144513} is an apocalyptic number.

It is an amenable number.

123301440144513 is a deficient number, since it is larger than the sum of its proper divisors (54800640064241).

123301440144513 is a wasteful number, since it uses less digits than its factorization.

123301440144513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13700160016063 (or 13700160016060 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 123301440144513 its reverse (315441044103321), we get a palindrome (438742484247834).

The spelling of 123301440144513 in words is "one hundred twenty-three trillion, three hundred one billion, four hundred forty million, one hundred forty-four thousand, five hundred thirteen".