13401220011101 has 12 divisors (see below), whose sum is σ = 14865316360020. Its totient is φ = 12068640904320.

The previous prime is 13401220011089. The next prime is 13401220011187. The reversal of 13401220011101 is 10111002210431.

13401220011101 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 6 ways, for example, as 2462153265625 + 10939066745476 = 1569125^2 + 3307426^2 .

It is not a de Polignac number, because 13401220011101 - 2²² = 13401215816797 is a prime.

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 13401220011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13401220611101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 967031606 + ... + 967045463.

It is an arithmetic number, because the mean of its divisors is an integer number (1238776363335).

Almost surely, 2^{13401220011101} is an apocalyptic number.

It is an amenable number.

13401220011101 is a deficient number, since it is larger than the sum of its proper divisors (1464096348919).

13401220011101 is a wasteful number, since it uses less digits than its factorization.

13401220011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934077136 (or 1934077123 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 13401220011101 its reverse (10111002210431), we get a palindrome (23512222221532).

The spelling of 13401220011101 in words is "thirteen trillion, four hundred one billion, two hundred twenty million, eleven thousand, one hundred one".