101303110114013 has 16 divisors (see below), whose sum is σ = 103208305963392. Its totient is φ = 99411736200000.

The previous prime is 101303110114007. The next prime is 101303110114069. The reversal of 101303110114013 is 310411011303101.

It is a cyclic number.

It is not a de Polignac number, because 101303110114013 - 2⁶ = 101303110113949 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 (101303110111013) 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, 24703043 + ... + 28510463.

It is an arithmetic number, because the mean of its divisors is an integer number (6450519122712).

Almost surely, 2^{101303110114013} is an apocalyptic number.

It is an amenable number.

101303110114013 is a deficient number, since it is larger than the sum of its proper divisors (1905195849379).

101303110114013 is a wasteful number, since it uses less digits than its factorization.

101303110114013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809236.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101303110114013 its reverse (310411011303101), we get a palindrome (411714121417114).

The spelling of 101303110114013 in words is "one hundred one trillion, three hundred three billion, one hundred ten million, one hundred fourteen thousand, thirteen".