312201102213 has 96 divisors (see below), whose sum is σ = 606254568192. Its totient is φ = 149515545600.

The previous prime is 312201102209. The next prime is 312201102263.

312201102213 is a `hidden beast` number, since 312 + 20 + 110 + 221 + 3 = 666.

312201102213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312201102213 - 2² = 312201102209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312201102203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7158433 + ... + 7201913.

It is an arithmetic number, because the mean of its divisors is an integer number (6315151752).

Almost surely, 2^312201102213 is an apocalyptic number.

312201102213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312201102213 is a deficient number, since it is larger than the sum of its proper divisors (294053465979).

312201102213 is a wasteful number, since it uses less digits than its factorization.

312201102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44315 (or 44312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 312201 and 102213, that added together give a palindrome (414414).

The spelling of 312201102213 in words is "three hundred twelve billion, two hundred one million, one hundred two thousand, two hundred thirteen".