1314310041 has 48 divisors (see below), whose sum is σ = 2137873920. Its totient is φ = 771068160.

The previous prime is 1314310037. The next prime is 1314310043. The reversal of 1314310041 is 1400134131.

1314310041 is a `hidden beast` number, since 1 + 314 + 310 + 0 + 41 = 666.

It is not a de Polignac number, because 1314310041 - 2² = 1314310037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1314309996 and 1314310023.

It is not an unprimeable number, because it can be changed into a prime (1314310043) by changing a digit.

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, 816045 + ... + 817653.

It is an arithmetic number, because the mean of its divisors is an integer number (44539040).

Almost surely, 2^1314310041 is an apocalyptic number.

1314310041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1314310041 is a deficient number, since it is larger than the sum of its proper divisors (823563879).

1314310041 is a wasteful number, since it uses less digits than its factorization.

1314310041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1314310041 is about 36253.4141978380. The cubic root of 1314310041 is about 1095.3828623025.

Adding to 1314310041 its reverse (1400134131), we get a palindrome (2714444172).

The spelling of 1314310041 in words is "one billion, three hundred fourteen million, three hundred ten thousand, forty-one".