1312401105 has 48 divisors (see below), whose sum is σ = 2454163920. Its totient is φ = 646324224.

The previous prime is 1312401073. The next prime is 1312401107. The reversal of 1312401105 is 5011042131.

It can be written as a sum of positive squares in 8 ways, for example, as 11861136 + 1300539969 = 3444^2 + 36063^2 .

It is not a de Polignac number, because 1312401105 - 2⁵ = 1312401073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1312401107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24361 + ... + 56729.

It is an arithmetic number, because the mean of its divisors is an integer number (51128415).

Almost surely, 2^1312401105 is an apocalyptic number.

1312401105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1312401105 is a deficient number, since it is larger than the sum of its proper divisors (1141762815).

1312401105 is a wasteful number, since it uses less digits than its factorization.

1312401105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32450 (or 32447 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1312401105 is about 36227.0769590924. The cubic root of 1312401105 is about 1094.8522850720.

Adding to 1312401105 its reverse (5011042131), we get a palindrome (6323443236).

The spelling of 1312401105 in words is "one billion, three hundred twelve million, four hundred one thousand, one hundred five".