1311253101 has 12 divisors (see below), whose sum is σ = 1945222812. Its totient is φ = 850542336.

The previous prime is 1311253093. The next prime is 1311253117. The reversal of 1311253101 is 1013521131.

1311253101 is a `hidden beast` number, since 1 + 311 + 253 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1062434025 + 248819076 = 32595^2 + 15774^2 .

It is not a de Polignac number, because 1311253101 - 2³ = 1311253093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311253121) 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 11 ways as a sum of consecutive naturals, for example, 1968516 + ... + 1969181.

It is an arithmetic number, because the mean of its divisors is an integer number (162101901).

Almost surely, 2^1311253101 is an apocalyptic number.

It is an amenable number.

1311253101 is a deficient number, since it is larger than the sum of its proper divisors (633969711).

1311253101 is a wasteful number, since it uses less digits than its factorization.

1311253101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937740 (or 3937737 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1311253101 is about 36211.2289352350. The cubic root of 1311253101 is about 1094.5329565122.

Adding to 1311253101 its reverse (1013521131), we get a palindrome (2324774232).

The spelling of 1311253101 in words is "one billion, three hundred eleven million, two hundred fifty-three thousand, one hundred one".