312001121100213 has 6 divisors (see below), whose sum is σ = 450668286033654. Its totient is φ = 208000747400136.

The previous prime is 312001121100211. The next prime is 312001121100421.

312001121100213 is a `hidden beast` number, since 31 + 200 + 1 + 121 + 100 + 213 = 666.

312001121100213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 163725152933169 + 148275968167044 = 12795513^2 + 12176862^2 .

It is not a de Polignac number, because 312001121100213 - 2¹ = 312001121100211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001121100211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17333395616670 + ... + 17333395616687.

It is an arithmetic number, because the mean of its divisors is an integer number (75111381005609).

Almost surely, 2^{312001121100213} is an apocalyptic number.

It is an amenable number.

312001121100213 is a deficient number, since it is larger than the sum of its proper divisors (138667164933441).

312001121100213 is a wasteful number, since it uses less digits than its factorization.

312001121100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34666791233363 (or 34666791233360 counting only the distinct ones).

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

The spelling of 312001121100213 in words is "three hundred twelve trillion, one billion, one hundred twenty-one million, one hundred thousand, two hundred thirteen".