13961165101 has 16 divisors (see below), whose sum is σ = 15250371696. Its totient is φ = 12702928896.

The previous prime is 13961165093. The next prime is 13961165107. The reversal of 13961165101 is 10156116931.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4826775625 + 9134389476 = 69475^2 + 95574^2 .

It is a cyclic number.

It is not a de Polignac number, because 13961165101 - 2³ = 13961165093 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 (13961165107) 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, 2039781 + ... + 2046613.

It is an arithmetic number, because the mean of its divisors is an integer number (953148231).

Almost surely, 2^13961165101 is an apocalyptic number.

It is an amenable number.

13961165101 is a deficient number, since it is larger than the sum of its proper divisors (1289206595).

13961165101 is a wasteful number, since it uses less digits than its factorization.

13961165101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9072.

The product of its (nonzero) digits is 4860, while the sum is 34.

The spelling of 13961165101 in words is "thirteen billion, nine hundred sixty-one million, one hundred sixty-five thousand, one hundred one".