13122210211441 has 8 divisors (see below), whose sum is σ = 13211070345000. Its totient is φ = 13033360632960.

The previous prime is 13122210211393. The next prime is 13122210211447. The reversal of 13122210211441 is 14411201222131.

It can be written as a sum of positive squares in 4 ways, for example, as 5010080899041 + 8112129312400 = 2238321^2 + 2848180^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13122210211441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13122210211447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135916 + ... + 5124733.

It is an arithmetic number, because the mean of its divisors is an integer number (1651383793125).

Almost surely, 2^{13122210211441} is an apocalyptic number.

It is an amenable number.

13122210211441 is a deficient number, since it is larger than the sum of its proper divisors (88860133559).

13122210211441 is a wasteful number, since it uses less digits than its factorization.

13122210211441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277539.

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

Adding to 13122210211441 its reverse (14411201222131), we get a palindrome (27533411433572).

The spelling of 13122210211441 in words is "thirteen trillion, one hundred twenty-two billion, two hundred ten million, two hundred eleven thousand, four hundred forty-one".