13124414101201 has 16 divisors (see below), whose sum is σ = 14336045300304. Its totient is φ = 11941844373504.

The previous prime is 13124414101193. The next prime is 13124414101213. The reversal of 13124414101201 is 10210141442131.

It can be written as a sum of positive squares in 8 ways, for example, as 2751537818176 + 10372876283025 = 1658776^2 + 3220695^2 .

It is a cyclic number.

It is not a de Polignac number, because 13124414101201 - 2³ = 13124414101193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13124414101501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2464306 + ... + 5685211.

It is an arithmetic number, because the mean of its divisors is an integer number (896002831269).

Almost surely, 2^{13124414101201} is an apocalyptic number.

It is an amenable number.

13124414101201 is a deficient number, since it is larger than the sum of its proper divisors (1211631199103).

13124414101201 is a wasteful number, since it uses less digits than its factorization.

13124414101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8151300.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 13124414101201 its reverse (10210141442131), we get a palindrome (23334555543332).

The spelling of 13124414101201 in words is "thirteen trillion, one hundred twenty-four billion, four hundred fourteen million, one hundred one thousand, two hundred one".