1310113101 has 24 divisors (see below), whose sum is σ = 1925103712. Its totient is φ = 791920800.

The previous prime is 1310113081. The next prime is 1310113111. The reversal of 1310113101 is 1013110131.

It is not a de Polignac number, because 1310113101 - 2¹⁰ = 1310112077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310113111) 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 23 ways as a sum of consecutive naturals, for example, 139566 + ... + 148656.

Almost surely, 2^1310113101 is an apocalyptic number.

1310113101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1310113101 is a deficient number, since it is larger than the sum of its proper divisors (614990611).

1310113101 is a wasteful number, since it uses less digits than its factorization.

1310113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9513 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1310113101 is about 36195.4845388206. The cubic root of 1310113101 is about 1094.2156698530.

Adding to 1310113101 its reverse (1013110131), we get a palindrome (2323223232).

It can be divided in two parts, 1310 and 113101, that added together give a palindrome (114411).

The spelling of 1310113101 in words is "one billion, three hundred ten million, one hundred thirteen thousand, one hundred one".