10113312103101 has 48 divisors (see below), whose sum is σ = 14999338980288. Its totient is φ = 6564786912000.

The previous prime is 10113312103073. The next prime is 10113312103109. The reversal of 10113312103101 is 10130121331101.

10113312103101 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 331 + 21 + 0 + 310 + 1 = 666.

It is not a de Polignac number, because 10113312103101 - 2²¹ = 10113310005949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113312103109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12945546 + ... + 13704516.

It is an arithmetic number, because the mean of its divisors is an integer number (312486228756).

Almost surely, 2^{10113312103101} is an apocalyptic number.

It is an amenable number.

10113312103101 is a deficient number, since it is larger than the sum of its proper divisors (4886026877187).

10113312103101 is a wasteful number, since it uses less digits than its factorization.

10113312103101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759322 (or 759319 counting only the distinct ones).

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

Adding to 10113312103101 its reverse (10130121331101), we get a palindrome (20243433434202).

The spelling of 10113312103101 in words is "ten trillion, one hundred thirteen billion, three hundred twelve million, one hundred three thousand, one hundred one".