31302124121133 has 12 divisors (see below), whose sum is σ = 45348345994588. Its totient is φ = 20806159651200.

The previous prime is 31302124121117. The next prime is 31302124121141. The reversal of 31302124121133 is 33112142120313.

31302124121133 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 212 + 412 + 1 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10953968463684 + 20348155657449 = 3309678^2 + 4510893^2 .

It is not a de Polignac number, because 31302124121133 - 2⁴ = 31302124121117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31302124121097 and 31302124121106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31302124120133) 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, 5160254818 + ... + 5160260883.

Almost surely, 2^{31302124121133} is an apocalyptic number.

It is an amenable number.

31302124121133 is a deficient number, since it is larger than the sum of its proper divisors (14046221873455).

31302124121133 is a wasteful number, since it uses less digits than its factorization.

31302124121133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10320516044 (or 10320516041 counting only the distinct ones).

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

Adding to 31302124121133 its reverse (33112142120313), we get a palindrome (64414266241446).

The spelling of 31302124121133 in words is "thirty-one trillion, three hundred two billion, one hundred twenty-four million, one hundred twenty-one thousand, one hundred thirty-three".