312344012410301 has 32 divisors (see below), whose sum is σ = 321531228345600. Its totient is φ = 303293712325120.

The previous prime is 312344012410289. The next prime is 312344012410307. The reversal of 312344012410301 is 103014210443213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312344012410301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312344012410307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24419039216 + ... + 24419052006.

It is an arithmetic number, because the mean of its divisors is an integer number (10047850885800).

Almost surely, 2^{312344012410301} is an apocalyptic number.

It is an amenable number.

312344012410301 is a deficient number, since it is larger than the sum of its proper divisors (9187215935299).

312344012410301 is a wasteful number, since it uses less digits than its factorization.

312344012410301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17269.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 312344012410301 its reverse (103014210443213), we get a palindrome (415358222853514).

The spelling of 312344012410301 in words is "three hundred twelve trillion, three hundred forty-four billion, twelve million, four hundred ten thousand, three hundred one".