31124312012133 has 6 divisors (see below), whose sum is σ = 44957339573094. Its totient is φ = 20749541341416.

The previous prime is 31124312012051. The next prime is 31124312012137. The reversal of 31124312012133 is 33121021342113.

31124312012133 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 431 + 201 + 21 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29408256551844 + 1716055460289 = 5422938^2 + 1309983^2 .

It is not a de Polignac number, because 31124312012133 - 2²¹ = 31124309914981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31124312012097 and 31124312012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31124312012137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1729128445110 + ... + 1729128445127.

It is an arithmetic number, because the mean of its divisors is an integer number (7492889928849).

Almost surely, 2^{31124312012133} is an apocalyptic number.

It is an amenable number.

31124312012133 is a deficient number, since it is larger than the sum of its proper divisors (13833027560961).

31124312012133 is a wasteful number, since it uses less digits than its factorization.

31124312012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458256890243 (or 3458256890240 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 31124312012133 its reverse (33121021342113), we get a palindrome (64245333354246).

The spelling of 31124312012133 in words is "thirty-one trillion, one hundred twenty-four billion, three hundred twelve million, twelve thousand, one hundred thirty-three".