1310101110101 has 12 divisors (see below), whose sum is σ = 1524027995820. Its totient is φ = 1122919620480.

The previous prime is 1310101110091. The next prime is 1310101110127. The reversal of 1310101110101 is 1010111010131.

It can be written as a sum of positive squares in 2 ways, for example, as 138838212100 + 1171262898001 = 372610^2 + 1082249^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1310101110101 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 (1310101110191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2233031 + ... + 2758011.

It is an arithmetic number, because the mean of its divisors is an integer number (127002332985).

Almost surely, 2^{1310101110101} is an apocalyptic number.

It is an amenable number.

1310101110101 is a deficient number, since it is larger than the sum of its proper divisors (213926885719).

1310101110101 is an equidigital number, since it uses as much as digits as its factorization.

1310101110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575924 (or 575917 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 1310101110101 its reverse (1010111010131), we get a palindrome (2320212120232).

The spelling of 1310101110101 in words is "one trillion, three hundred ten billion, one hundred one million, one hundred ten thousand, one hundred one".