13031211110101 has 8 divisors (see below), whose sum is σ = 13245415786008. Its totient is φ = 12817025088000.

The previous prime is 13031211110089. The next prime is 13031211110149. The reversal of 13031211110101 is 10101111213031.

It can be written as a sum of positive squares in 4 ways, for example, as 1486268203876 + 11544942906225 = 1219126^2 + 3397785^2 .

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 13031211110101 - 2⁵ = 13031211110069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031211810101) 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, 3251320 + ... + 6052561.

It is an arithmetic number, because the mean of its divisors is an integer number (1655676973251).

Almost surely, 2^{13031211110101} is an apocalyptic number.

It is an amenable number.

13031211110101 is a deficient number, since it is larger than the sum of its proper divisors (214204675907).

13031211110101 is an equidigital number, since it uses as much as digits as its factorization.

13031211110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9326903.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 13031211110101 its reverse (10101111213031), we get a palindrome (23132322323132).

The spelling of 13031211110101 in words is "thirteen trillion, thirty-one billion, two hundred eleven million, one hundred ten thousand, one hundred one".