312142242241213 has 32 divisors (see below), whose sum is σ = 332190281687040. Its totient is φ = 292462711041600.

The previous prime is 312142242241199. The next prime is 312142242241301.

It is a happy number.

312142242241213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312142242241213 - 2⁹ = 312142242240701 is a prime.

It is a super-2 number, since 2×312142242241213² (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 (312142242241013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22126755706 + ... + 22126769812.

It is an arithmetic number, because the mean of its divisors is an integer number (10380946302720).

Almost surely, 2^{312142242241213} is an apocalyptic number.

It is an amenable number.

312142242241213 is a deficient number, since it is larger than the sum of its proper divisors (20048039445827).

312142242241213 is a wasteful number, since it uses less digits than its factorization.

312142242241213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26137.

The product of its digits is 36864, while the sum is 34.

The spelling of 312142242241213 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred forty-two million, two hundred forty-one thousand, two hundred thirteen".