101310120405 has 48 divisors (see below), whose sum is σ = 189526537200. Its totient is φ = 49766482944.

The previous prime is 101310120391. The next prime is 101310120421. The reversal of 101310120405 is 504021013101.

101310120405 is a `hidden beast` number, since 10 + 131 + 0 + 120 + 405 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2558943396 + 98751177009 = 50586^2 + 314247^2 .

It is not a de Polignac number, because 101310120405 - 2¹⁰ = 101310119381 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77871 + ... + 456819.

It is an arithmetic number, because the mean of its divisors is an integer number (3948469525).

Almost surely, 2^101310120405 is an apocalyptic number.

101310120405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101310120405 is a deficient number, since it is larger than the sum of its proper divisors (88216416795).

101310120405 is a wasteful number, since it uses less digits than its factorization.

101310120405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379430 (or 379427 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 101310120405 its reverse (504021013101), we get a palindrome (605331133506).

The spelling of 101310120405 in words is "one hundred one billion, three hundred ten million, one hundred twenty thousand, four hundred five".