314053350413 has 32 divisors (see below), whose sum is σ = 358635368448. Its totient is φ = 272529576000.

The previous prime is 314053350407. The next prime is 314053350419.

314053350413 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (314053350407) and next prime (314053350419).

It is not a de Polignac number, because 314053350413 - 2⁴ = 314053350397 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314053350413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314053350419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3453656 + ... + 3543422.

It is an arithmetic number, because the mean of its divisors is an integer number (11207355264).

Almost surely, 2^314053350413 is an apocalyptic number.

It is an amenable number.

314053350413 is a deficient number, since it is larger than the sum of its proper divisors (44582018035).

314053350413 is a wasteful number, since it uses less digits than its factorization.

314053350413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89993.

The product of its (nonzero) digits is 32400, while the sum is 32.

It can be divided in two parts, 314053 and 350413, that added together give a palindrome (664466).

The spelling of 314053350413 in words is "three hundred fourteen billion, fifty-three million, three hundred fifty thousand, four hundred thirteen".