101310210310113 has 48 divisors (see below), whose sum is σ = 177381702126720. Its totient is φ = 54393341787648.

The previous prime is 101310210310103. The next prime is 101310210310129. The reversal of 101310210310113 is 311013012013101.

101310210310113 is a `hidden beast` number, since 1 + 0 + 1 + 31 + 0 + 210 + 310 + 113 = 666.

It is not a de Polignac number, because 101310210310113 - 2⁴ = 101310210310097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101310210310103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79945458 + ... + 81202811.

It is an arithmetic number, because the mean of its divisors is an integer number (3695452127640).

Almost surely, 2^{101310210310113} is an apocalyptic number.

It is an amenable number.

101310210310113 is a deficient number, since it is larger than the sum of its proper divisors (76071491816607).

101310210310113 is a wasteful number, since it uses less digits than its factorization.

101310210310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161148886 (or 161148883 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101310210310113 its reverse (311013012013101), we get a palindrome (412323222323214).

The spelling of 101310210310113 in words is "one hundred one trillion, three hundred ten billion, two hundred ten million, three hundred ten thousand, one hundred thirteen".