13642101077 has 6 divisors (see below), whose sum is σ = 14995036854. Its totient is φ = 12401909960.

The previous prime is 13642101071. The next prime is 13642101103. The reversal of 13642101077 is 77010124631.

13642101077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9485591236 + 4156509841 = 97394^2 + 64471^2 .

It is not a de Polignac number, because 13642101077 - 2⁸ = 13642100821 is a prime.

It is a super-2 number, since 2×13642101077² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642101071) 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 5 ways as a sum of consecutive naturals, for example, 56372198 + ... + 56372439.

It is an arithmetic number, because the mean of its divisors is an integer number (2499172809).

Almost surely, 2^13642101077 is an apocalyptic number.

It is an amenable number.

13642101077 is a deficient number, since it is larger than the sum of its proper divisors (1352935777).

13642101077 is a wasteful number, since it uses less digits than its factorization.

13642101077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112744659 (or 112744648 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 13642101077 in words is "thirteen billion, six hundred forty-two million, one hundred one thousand, seventy-seven".