31302312132133 has 16 divisors (see below), whose sum is σ = 36646834331520. Its totient is φ = 26175988800000.

The previous prime is 31302312132107. The next prime is 31302312132149. The reversal of 31302312132133 is 33123121320313.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 31302312132133 - 2²⁵ = 31302278577701 is a prime.

It is a super-2 number, since 2×31302312132133² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31302312132733) 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 15 ways as a sum of consecutive naturals, for example, 80067133 + ... + 80457133.

It is an arithmetic number, because the mean of its divisors is an integer number (2290427145720).

Almost surely, 2^{31302312132133} is an apocalyptic number.

It is an amenable number.

31302312132133 is a deficient number, since it is larger than the sum of its proper divisors (5344522199387).

31302312132133 is a wasteful number, since it uses less digits than its factorization.

31302312132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669708.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 31302312132133 its reverse (33123121320313), we get a palindrome (64425433452446).

The spelling of 31302312132133 in words is "thirty-one trillion, three hundred two billion, three hundred twelve million, one hundred thirty-two thousand, one hundred thirty-three".