312420002142013 has 8 divisors (see below), whose sum is σ = 312946501393400. Its totient is φ = 311893525036800.

The previous prime is 312420002142007. The next prime is 312420002142043. The reversal of 312420002142013 is 310241200024213.

It can be written as a sum of positive squares in 4 ways, for example, as 48608407512729 + 263811594629284 = 6971973^2 + 16242278^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 312420002142013 - 2¹³ = 312420002133821 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 (312420002142043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22823881 + ... + 33849217.

It is an arithmetic number, because the mean of its divisors is an integer number (39118312674175).

Almost surely, 2^{312420002142013} is an apocalyptic number.

It is an amenable number.

312420002142013 is a deficient number, since it is larger than the sum of its proper divisors (526499251387).

312420002142013 is a wasteful number, since it uses less digits than its factorization.

312420002142013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11073087.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 312420002142013 its reverse (310241200024213), we get a palindrome (622661202166226).

The spelling of 312420002142013 in words is "three hundred twelve trillion, four hundred twenty billion, two million, one hundred forty-two thousand, thirteen".