314400220113 has 16 divisors (see below), whose sum is σ = 482258809856. Its totient is φ = 178467483600.

The previous prime is 314400220087. The next prime is 314400220117. The reversal of 314400220113 is 311022004413.

314400220113 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 314400220113 - 2¹⁷ = 314400089041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 314400220113.

It is not an unprimeable number, because it can be changed into a prime (314400220117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49571131 + ... + 49577472.

It is an arithmetic number, because the mean of its divisors is an integer number (30141175616).

Almost surely, 2^314400220113 is an apocalyptic number.

It is an amenable number.

314400220113 is a deficient number, since it is larger than the sum of its proper divisors (167858589743).

314400220113 is a wasteful number, since it uses less digits than its factorization.

314400220113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99148764.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 314400220113 its reverse (311022004413), we get a palindrome (625422224526).

The spelling of 314400220113 in words is "three hundred fourteen billion, four hundred million, two hundred twenty thousand, one hundred thirteen".