1301303313 has 20 divisors (see below), whose sum is σ = 1945504308. Its totient is φ = 866829600.

The previous prime is 1301303287. The next prime is 1301303317. The reversal of 1301303313 is 3133031031.

1301303313 is a `hidden beast` number, since 1 + 301 + 30 + 331 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1190043009 + 111260304 = 34497^2 + 10548^2 .

It is not a de Polignac number, because 1301303313 - 2⁶ = 1301303249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1301303317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105363 + ... + 117063.

Almost surely, 2^1301303313 is an apocalyptic number.

It is an amenable number.

1301303313 is a deficient number, since it is larger than the sum of its proper divisors (644200995).

1301303313 is a wasteful number, since it uses less digits than its factorization.

1301303313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13086 (or 13077 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1301303313 is about 36073.5819263904. The cubic root of 1301303313 is about 1091.7574859961.

Adding to 1301303313 its reverse (3133031031), we get a palindrome (4434334344).

The spelling of 1301303313 in words is "one billion, three hundred one million, three hundred three thousand, three hundred thirteen".