312010202010213 has 24 divisors (see below), whose sum is σ = 517941915566400. Its totient is φ = 177295501854144.

The previous prime is 312010202010197. The next prime is 312010202010229.

312010202010213 is a `hidden beast` number, since 31 + 201 + 0 + 20 + 201 + 0 + 213 = 666.

312010202010213 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (312010202010197) and next prime (312010202010229).

It is not a de Polignac number, because 312010202010213 - 2⁴ = 312010202010197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312010202010313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13833907408 + ... + 13833929961.

It is an arithmetic number, because the mean of its divisors is an integer number (21580913148600).

Almost surely, 2^{312010202010213} is an apocalyptic number.

It is an amenable number.

312010202010213 is a deficient number, since it is larger than the sum of its proper divisors (205931713556187).

312010202010213 is a wasteful number, since it uses less digits than its factorization.

312010202010213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27667837561 (or 27667837558 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, 31201020 and 2010213, that added together give a palindrome (33211233).

The spelling of 312010202010213 in words is "three hundred twelve trillion, ten billion, two hundred two million, ten thousand, two hundred thirteen".