13121020320101 has 2 divisors, whose sum is σ = 13121020320102. Its totient is φ = 13121020320100.

The previous prime is 13121020319989. The next prime is 13121020320173. The reversal of 13121020320101 is 10102302012131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12908743579876 + 212276740225 = 3592874^2 + 460735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13121020320101 is a prime.

It is a super-2 number, since 2×13121020320101² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13121020320101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121020322101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560510160050 + 6560510160051.

It is an arithmetic number, because the mean of its divisors is an integer number (6560510160051).

Almost surely, 2^{13121020320101} is an apocalyptic number.

It is an amenable number.

13121020320101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121020320101 is an equidigital number, since it uses as much as digits as its factorization.

13121020320101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13121020320101 its reverse (10102302012131), we get a palindrome (23223322332232).

The spelling of 13121020320101 in words is "thirteen trillion, one hundred twenty-one billion, twenty million, three hundred twenty thousand, one hundred one".