312413203142133 has 16 divisors (see below), whose sum is σ = 417805016850240. Its totient is φ = 207648583249536.

The previous prime is 312413203142123. The next prime is 312413203142167. The reversal of 312413203142133 is 331241302314213.

It is not a de Polignac number, because 312413203142133 - 2²⁰ = 312413202093557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312413203142094 and 312413203142103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312413203142123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11156560 + ... + 27373257.

It is an arithmetic number, because the mean of its divisors is an integer number (26112813553140).

Almost surely, 2^{312413203142133} is an apocalyptic number.

It is an amenable number.

312413203142133 is a deficient number, since it is larger than the sum of its proper divisors (105391813708107).

312413203142133 is a wasteful number, since it uses less digits than its factorization.

312413203142133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38537956.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 312413203142133 its reverse (331241302314213), we get a palindrome (643654505456346).

The spelling of 312413203142133 in words is "three hundred twelve trillion, four hundred thirteen billion, two hundred three million, one hundred forty-two thousand, one hundred thirty-three".