103112103213 has 72 divisors (see below), whose sum is σ = 175591195416. Its totient is φ = 58131360000.

The previous prime is 103112103191. The next prime is 103112103221. The reversal of 103112103213 is 312301211301.

103112103213 is a `hidden beast` number, since 10 + 311 + 21 + 0 + 321 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78219783684 + 24892319529 = 279678^2 + 157773^2 .

It is not a de Polignac number, because 103112103213 - 2¹⁷ = 103111972141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103112103233) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13046563 + ... + 13054463.

It is an arithmetic number, because the mean of its divisors is an integer number (2438766603).

Almost surely, 2^103112103213 is an apocalyptic number.

It is an amenable number.

103112103213 is a deficient number, since it is larger than the sum of its proper divisors (72479092203).

103112103213 is a wasteful number, since it uses less digits than its factorization.

103112103213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8315 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103112103213 its reverse (312301211301), we get a palindrome (415413314514).

The spelling of 103112103213 in words is "one hundred three billion, one hundred twelve million, one hundred three thousand, two hundred thirteen".