413123101321314 has 8 divisors (see below), whose sum is σ = 826246202642640. Its totient is φ = 137707700440436.

The previous prime is 413123101321309. The next prime is 413123101321321.

It is a happy number.

413123101321314 is nontrivially palindromic in base 10.

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

413123101321314 is an admirable number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34426925110104 + ... + 34426925110115.

It is an arithmetic number, because the mean of its divisors is an integer number (103280775330330).

Almost surely, 2^{413123101321314} is an apocalyptic number.

413123101321314 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413123101321314 is a wasteful number, since it uses less digits than its factorization.

413123101321314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68853850220224.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 41312310 and 1321314, that added together give a palindrome (42633624).

The spelling of 413123101321314 in words is "four hundred thirteen trillion, one hundred twenty-three billion, one hundred one million, three hundred twenty-one thousand, three hundred fourteen".