1303135314 has 64 divisors (see below), whose sum is σ = 2864066688. Its totient is φ = 392832000.

The previous prime is 1303135291. The next prime is 1303135319. The reversal of 1303135314 is 4135313031.

It is not an unprimeable number, because it can be changed into a prime (1303135319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1907617 + ... + 1908299.

It is an arithmetic number, because the mean of its divisors is an integer number (44751042).

Almost surely, 2^1303135314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303135314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432033344).

1303135314 is an abundant number, since it is smaller than the sum of its proper divisors (1560931374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1303135314 is a wasteful number, since it uses less digits than its factorization.

1303135314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 1303135314 is about 36098.9655530460. The cubic root of 1303135314 is about 1092.2695784821.

Adding to 1303135314 its reverse (4135313031), we get a palindrome (5438448345).

The spelling of 1303135314 in words is "one billion, three hundred three million, one hundred thirty-five thousand, three hundred fourteen".