13111223210401 has 8 divisors (see below), whose sum is σ = 13431281487624. Its totient is φ = 12791177902080.

The previous prime is 13111223210359. The next prime is 13111223210453. The reversal of 13111223210401 is 10401232211131.

It can be written as a sum of positive squares in 4 ways, for example, as 1932097220001 + 11179125990400 = 1389999^2 + 3343520^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13111223210401 - 2⁴¹ = 10912199954849 is a prime.

It is a super-3 number, since 3×13111223210401³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13111223210461) 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 7 ways as a sum of consecutive naturals, for example, 1179780 + ... + 5254933.

It is an arithmetic number, because the mean of its divisors is an integer number (1678910185953).

Almost surely, 2^{13111223210401} is an apocalyptic number.

It is an amenable number.

13111223210401 is a deficient number, since it is larger than the sum of its proper divisors (320058277223).

13111223210401 is an equidigital number, since it uses as much as digits as its factorization.

13111223210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484451.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 13111223210401 its reverse (10401232211131), we get a palindrome (23512455421532).

The spelling of 13111223210401 in words is "thirteen trillion, one hundred eleven billion, two hundred twenty-three million, two hundred ten thousand, four hundred one".