13431201101 has 4 divisors (see below), whose sum is σ = 14221271772. Its totient is φ = 12641130432.

The previous prime is 13431201083. The next prime is 13431201167. The reversal of 13431201101 is 10110213431.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10110213431 = 23 ⋅439574497.

It can be written as a sum of positive squares in 2 ways, for example, as 12462373225 + 968827876 = 111635^2 + 31126^2 .

It is a cyclic number.

It is not a de Polignac number, because 13431201101 - 2¹⁰ = 13431200077 is a prime.

It is a super-3 number, since 3×13431201101³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 790070653 = 13431201101 / (1 + 3 + 4 + 3 + 1 + 2 + 0 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13431201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431201191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 395035310 + ... + 395035343.

It is an arithmetic number, because the mean of its divisors is an integer number (3555317943).

Almost surely, 2^13431201101 is an apocalyptic number.

It is an amenable number.

13431201101 is a deficient number, since it is larger than the sum of its proper divisors (790070671).

13431201101 is an equidigital number, since it uses as much as digits as its factorization.

13431201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790070670.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13431201101 its reverse (10110213431), we get a palindrome (23541414532).

The spelling of 13431201101 in words is "thirteen billion, four hundred thirty-one million, two hundred one thousand, one hundred one".