312301110310133 has 32 divisors (see below), whose sum is σ = 375337622568960. Its totient is φ = 254213665272000.

The previous prime is 312301110310109. The next prime is 312301110310177. The reversal of 312301110310133 is 331013011103213.

It is not a de Polignac number, because 312301110310133 - 2²⁶ = 312301043201269 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312301110310099 and 312301110310108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312301110310333) 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 31 ways as a sum of consecutive naturals, for example, 21664973 + ... + 33075266.

It is an arithmetic number, because the mean of its divisors is an integer number (11729300705280).

Almost surely, 2^{312301110310133} is an apocalyptic number.

It is an amenable number.

312301110310133 is a deficient number, since it is larger than the sum of its proper divisors (63036512258827).

312301110310133 is a wasteful number, since it uses less digits than its factorization.

312301110310133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54740769.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 312301110310133 its reverse (331013011103213), we get a palindrome (643314121413346).

The spelling of 312301110310133 in words is "three hundred twelve trillion, three hundred one billion, one hundred ten million, three hundred ten thousand, one hundred thirty-three".