314210013 has 16 divisors (see below), whose sum is σ = 451562496. Its totient is φ = 193193280.

The previous prime is 314209933. The next prime is 314210021. The reversal of 314210013 is 310012413.

It is not a de Polignac number, because 314210013 - 2⁸ = 314209757 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 314209974 and 314210001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314211013) 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, 54631 + ... + 60107.

It is an arithmetic number, because the mean of its divisors is an integer number (28222656).

Almost surely, 2^314210013 is an apocalyptic number.

It is an amenable number.

314210013 is a deficient number, since it is larger than the sum of its proper divisors (137352483).

314210013 is a wasteful number, since it uses less digits than its factorization.

314210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6964.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 314210013 is about 17725.9700157706. The cubic root of 314210013 is about 679.8399370956.

Adding to 314210013 its reverse (310012413), we get a palindrome (624222426).

The spelling of 314210013 in words is "three hundred fourteen million, two hundred ten thousand, thirteen".