31133110100121 has 12 divisors (see below), whose sum is σ = 45298296449172. Its totient is φ = 20603907413376.

The previous prime is 31133110100119. The next prime is 31133110100129. The reversal of 31133110100121 is 12100101133113.

31133110100121 is a `hidden beast` number, since 311 + 331 + 1 + 0 + 1 + 0 + 0 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23572617466896 + 7560492633225 = 4855164^2 + 2749635^2 .

It is not a de Polignac number, because 31133110100121 - 2¹ = 31133110100119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31133110100094 and 31133110100103.

It is not an unprimeable number, because it can be changed into a prime (31133110100129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12624942036 + ... + 12624944501.

It is an arithmetic number, because the mean of its divisors is an integer number (3774858037431).

Almost surely, 2^{31133110100121} is an apocalyptic number.

It is an amenable number.

31133110100121 is a deficient number, since it is larger than the sum of its proper divisors (14165186349051).

31133110100121 is a wasteful number, since it uses less digits than its factorization.

31133110100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25249886680 (or 25249886677 counting only the distinct ones).

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

Adding to 31133110100121 its reverse (12100101133113), we get a palindrome (43233211233234).

The spelling of 31133110100121 in words is "thirty-one trillion, one hundred thirty-three billion, one hundred ten million, one hundred thousand, one hundred twenty-one".