123540311305 has 16 divisors (see below), whose sum is σ = 150812557200. Its totient is φ = 97125672960.

The previous prime is 123540311291. The next prime is 123540311317. The reversal of 123540311305 is 503113045321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 77291228169 + 46249083136 = 278013^2 + 215056^2 .

It is not a de Polignac number, because 123540311305 - 2⁵ = 123540311273 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 164961 + ... + 523729.

It is an arithmetic number, because the mean of its divisors is an integer number (9425784825).

Almost surely, 2^123540311305 is an apocalyptic number.

It is an amenable number.

123540311305 is a deficient number, since it is larger than the sum of its proper divisors (27272245895).

123540311305 is a wasteful number, since it uses less digits than its factorization.

123540311305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359964.

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 123540311305 its reverse (503113045321), we get a palindrome (626653356626).

The spelling of 123540311305 in words is "one hundred twenty-three billion, five hundred forty million, three hundred eleven thousand, three hundred five".