312420101024213 has 16 divisors (see below), whose sum is σ = 384518862139776. Its totient is φ = 247188363871680.

The previous prime is 312420101024209. The next prime is 312420101024249.

It is a happy number.

312420101024213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312420101024213 - 2² = 312420101024209 is a prime.

It is a super-4 number, since 4×312420101024213⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312420101024413) 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 15 ways as a sum of consecutive naturals, for example, 11546618 + ... + 27534788.

It is an arithmetic number, because the mean of its divisors is an integer number (24032428883736).

Almost surely, 2^{312420101024213} is an apocalyptic number.

It is an amenable number.

312420101024213 is a deficient number, since it is larger than the sum of its proper divisors (72098761115563).

312420101024213 is a wasteful number, since it uses less digits than its factorization.

312420101024213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16202924.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 31242010 and 1024213, that added together give a palindrome (32266223).

The spelling of 312420101024213 in words is "three hundred twelve trillion, four hundred twenty billion, one hundred one million, twenty-four thousand, two hundred thirteen".