31133123323101 has 12 divisors (see below), whose sum is σ = 44971016594140. Its totient is φ = 20754977284800.

The previous prime is 31133123323097. The next prime is 31133123323103. The reversal of 31133123323101 is 10132332133113.

31133123323101 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 3 + 12 + 332 + 310 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11753309456100 + 19379813867001 = 3428310^2 + 4402251^2 .

It is not a de Polignac number, because 31133123323101 - 2² = 31133123323097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31133123323103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36071800 + ... + 36924801.

Almost surely, 2^{31133123323101} is an apocalyptic number.

It is an amenable number.

31133123323101 is a deficient number, since it is larger than the sum of its proper divisors (13837893271039).

31133123323101 is a wasteful number, since it uses less digits than its factorization.

31133123323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73043996 (or 73043993 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31133123323101 its reverse (10132332133113), we get a palindrome (41265455456214).

The spelling of 31133123323101 in words is "thirty-one trillion, one hundred thirty-three billion, one hundred twenty-three million, three hundred twenty-three thousand, one hundred one".