312413421310413 has 8 divisors (see below), whose sum is σ = 416584507303008. Its totient is φ = 208258974762384.

The previous prime is 312413421310409. The next prime is 312413421310427. The reversal of 312413421310413 is 314013124314213.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312413421310413 - 2² = 312413421310409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312413421310313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4159817331 + ... + 4159892432.

It is an arithmetic number, because the mean of its divisors is an integer number (52073063412876).

Almost surely, 2^{312413421310413} is an apocalyptic number.

It is an amenable number.

312413421310413 is a deficient number, since it is larger than the sum of its proper divisors (104171085992595).

312413421310413 is a wasteful number, since it uses less digits than its factorization.

312413421310413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8319722283.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 312413421310413 its reverse (314013124314213), we get a palindrome (626426545624626).

The spelling of 312413421310413 in words is "three hundred twelve trillion, four hundred thirteen billion, four hundred twenty-one million, three hundred ten thousand, four hundred thirteen".