313413201 has 24 divisors (see below), whose sum is σ = 460063656. Its totient is φ = 205574400.

The previous prime is 313413137. The next prime is 313413211. The reversal of 313413201 is 102314313.

313413201 is a `hidden beast` number, since 3 + 1 + 341 + 320 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 234824976 + 78588225 = 15324^2 + 8865^2 .

It is not a de Polignac number, because 313413201 - 2⁶ = 313413137 is a prime.

It is a super-2 number, since 2×313413201² = 196455669122132802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313413211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156261 + ... + 158253.

It is an arithmetic number, because the mean of its divisors is an integer number (19169319).

Almost surely, 2^313413201 is an apocalyptic number.

It is an amenable number.

313413201 is a deficient number, since it is larger than the sum of its proper divisors (146650455).

313413201 is a wasteful number, since it uses less digits than its factorization.

313413201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313413201 is about 17703.4799121529. The cubic root of 313413201 is about 679.2647770110.

Adding to 313413201 its reverse (102314313), we get a palindrome (415727514).

The spelling of 313413201 in words is "three hundred thirteen million, four hundred thirteen thousand, two hundred one".