312101020101213 has 24 divisors (see below), whose sum is σ = 520315514898816. Its totient is φ = 176577663420000.

The previous prime is 312101020101203. The next prime is 312101020101263.

312101020101213 is a `hidden beast` number, since 31 + 210 + 10 + 201 + 0 + 1 + 213 = 666.

312101020101213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312101020101213 - 2²⁸ = 312100751665757 is a prime.

It is a super-2 number, since 2×312101020101213² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312101020101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24524669113 + ... + 24524681838.

It is an arithmetic number, because the mean of its divisors is an integer number (21679813120784).

Almost surely, 2^{312101020101213} is an apocalyptic number.

It is an amenable number.

312101020101213 is a deficient number, since it is larger than the sum of its proper divisors (208214494797603).

312101020101213 is a wasteful number, since it uses less digits than its factorization.

312101020101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49049351065 (or 49049351062 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 312101020101213 in words is "three hundred twelve trillion, one hundred one billion, twenty million, one hundred one thousand, two hundred thirteen".