1310022100113 has 16 divisors (see below), whose sum is σ = 1832599229952. Its totient is φ = 831320208000.

The previous prime is 1310022100067. The next prime is 1310022100147. The reversal of 1310022100113 is 3110012200131.

It is a happy number.

It is not a de Polignac number, because 1310022100113 - 2¹³ = 1310022091921 is a prime.

It is a super-2 number, since 2×1310022100113² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1310022100092 and 1310022100101.

It is not an unprimeable number, because it can be changed into a prime (1310022100183) 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 15 ways as a sum of consecutive naturals, for example, 115455468 + ... + 115466813.

It is an arithmetic number, because the mean of its divisors is an integer number (114537451872).

Almost surely, 2^{1310022100113} is an apocalyptic number.

It is an amenable number.

1310022100113 is a deficient number, since it is larger than the sum of its proper divisors (522577129839).

1310022100113 is a wasteful number, since it uses less digits than its factorization.

1310022100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230922376.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1310022100113 its reverse (3110012200131), we get a palindrome (4420034300244).

The spelling of 1310022100113 in words is "one trillion, three hundred ten billion, twenty-two million, one hundred thousand, one hundred thirteen".