42312100104313 has 32 divisors (see below), whose sum is σ = 45764260970400. Its totient is φ = 38888562585600.

The previous prime is 42312100104289. The next prime is 42312100104353. The reversal of 42312100104313 is 31340100121324.

It can be written as a sum of positive squares in 16 ways, for example, as 2364542817849 + 39947557286464 = 1537707^2 + 6320408^2 .

It is a de Polignac number, because none of the positive numbers 2^k-42312100104313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42312100104353) 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, 11334608395 + ... + 11334612127.

It is an arithmetic number, because the mean of its divisors is an integer number (1430133155325).

Almost surely, 2^{42312100104313} is an apocalyptic number.

It is an amenable number.

42312100104313 is a deficient number, since it is larger than the sum of its proper divisors (3452160866087).

42312100104313 is a wasteful number, since it uses less digits than its factorization.

42312100104313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 42312100104313 its reverse (31340100121324), we get a palindrome (73652200225637).

The spelling of 42312100104313 in words is "forty-two trillion, three hundred twelve billion, one hundred million, one hundred four thousand, three hundred thirteen".