312312101301 has 32 divisors (see below), whose sum is σ = 464569344000. Its totient is φ = 207360489024.

The previous prime is 312312101291. The next prime is 312312101371. The reversal of 312312101301 is 103101213213.

312312101301 is a `hidden beast` number, since 31 + 231 + 2 + 101 + 301 = 666.

It is not a de Polignac number, because 312312101301 - 2³⁰ = 311238359477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312101371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27107020 + ... + 27118538.

It is an arithmetic number, because the mean of its divisors is an integer number (14517792000).

Almost surely, 2^312312101301 is an apocalyptic number.

It is an amenable number.

312312101301 is a deficient number, since it is larger than the sum of its proper divisors (152257242699).

312312101301 is a wasteful number, since it uses less digits than its factorization.

312312101301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15530 (or 15524 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312312101301 its reverse (103101213213), we get a palindrome (415413314514).

The spelling of 312312101301 in words is "three hundred twelve billion, three hundred twelve million, one hundred one thousand, three hundred one".