1313201385 has 48 divisors (see below), whose sum is σ = 2399754240. Its totient is φ = 663327360.

The previous prime is 1313201377. The next prime is 1313201411. The reversal of 1313201385 is 5831023131.

It is not a de Polignac number, because 1313201385 - 2³ = 1313201377 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55551 + ... + 75579.

It is an arithmetic number, because the mean of its divisors is an integer number (49994880).

Almost surely, 2^1313201385 is an apocalyptic number.

1313201385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1313201385 is a deficient number, since it is larger than the sum of its proper divisors (1086552855).

1313201385 is a wasteful number, since it uses less digits than its factorization.

1313201385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20118 (or 20115 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1313201385 is about 36238.1206052411. The cubic root of 1313201385 is about 1095.0747806563.

The spelling of 1313201385 in words is "one billion, three hundred thirteen million, two hundred one thousand, three hundred eighty-five".