101340400013 has 16 divisors (see below), whose sum is σ = 103821413040. Its totient is φ = 98886796800.

The previous prime is 101340400001. The next prime is 101340400019. The reversal of 101340400013 is 310004043101.

It can be written as a sum of positive squares in 8 ways, for example, as 20909738404 + 80430661609 = 144602^2 + 283603^2 .

It is a cyclic number.

It is not a de Polignac number, because 101340400013 - 2³² = 97045432717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101340399964 and 101340400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101340400019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17287703 + ... + 17293563.

It is an arithmetic number, because the mean of its divisors is an integer number (6488838315).

Almost surely, 2^101340400013 is an apocalyptic number.

It is an amenable number.

101340400013 is a deficient number, since it is larger than the sum of its proper divisors (2481013027).

101340400013 is a wasteful number, since it uses less digits than its factorization.

101340400013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 101340400013 its reverse (310004043101), we get a palindrome (411344443114).

The spelling of 101340400013 in words is "one hundred one billion, three hundred forty million, four hundred thousand, thirteen".