1310113223001 has 80 divisors (see below), whose sum is σ = 2204512358400. Its totient is φ = 768171016800.

The previous prime is 1310113222981. The next prime is 1310113223117. The reversal of 1310113223001 is 1003223110131.

1310113223001 is a `hidden beast` number, since 1 + 31 + 0 + 11 + 322 + 300 + 1 = 666.

It is not a de Polignac number, because 1310113223001 - 2¹¹ = 1310113220953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1310113223701) 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 79 ways as a sum of consecutive naturals, for example, 175638210 + ... + 175645668.

It is an arithmetic number, because the mean of its divisors is an integer number (27556404480).

Almost surely, 2^{1310113223001} is an apocalyptic number.

1310113223001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1310113223001 is a deficient number, since it is larger than the sum of its proper divisors (894399135399).

1310113223001 is a wasteful number, since it uses less digits than its factorization.

1310113223001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13872 (or 13863 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1310113223001 its reverse (1003223110131), we get a palindrome (2313336333132).

The spelling of 1310113223001 in words is "one trillion, three hundred ten billion, one hundred thirteen million, two hundred twenty-three thousand, one".