312101121101213 has 16 divisors (see below), whose sum is σ = 319441985625600. Its totient is φ = 304850001580800.

The previous prime is 312101121101207. The next prime is 312101121101227.

312101121101213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312101121101213 - 2¹⁸ = 312101120839069 is a prime.

It is a super-3 number, since 3×312101121101213³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312101121101513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6233228 + ... + 25749861.

It is an arithmetic number, because the mean of its divisors is an integer number (19965124101600).

Almost surely, 2^{312101121101213} is an apocalyptic number.

It is an amenable number.

312101121101213 is a deficient number, since it is larger than the sum of its proper divisors (7340864524387).

312101121101213 is a wasteful number, since it uses less digits than its factorization.

312101121101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31984492.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 312101121101213 in words is "three hundred twelve trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, two hundred thirteen".