13031211810101 has 2 divisors, whose sum is σ = 13031211810102. Its totient is φ = 13031211810100.

The previous prime is 13031211810041. The next prime is 13031211810103. The reversal of 13031211810101 is 10101811213031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8217022906225 + 4814188903876 = 2866535^2 + 2194126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13031211810101 is a prime.

Together with 13031211810103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13031211810103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6515605905050 + 6515605905051.

It is an arithmetic number, because the mean of its divisors is an integer number (6515605905051).

Almost surely, 2^{13031211810101} is an apocalyptic number.

It is an amenable number.

13031211810101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031211810101 is an equidigital number, since it uses as much as digits as its factorization.

13031211810101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 13031211810101 in words is "thirteen trillion, thirty-one billion, two hundred eleven million, eight hundred ten thousand, one hundred one".