13033101001981 has 2 divisors, whose sum is σ = 13033101001982. Its totient is φ = 13033101001980.

The previous prime is 13033101001961. The next prime is 13033101002003. The reversal of 13033101001981 is 18910010133031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7785606672900 + 5247494329081 = 2790270^2 + 2290741^2 .

It is an emirp because it is prime and its reverse (18910010133031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13033101001981 - 2¹³ = 13033100993789 is a prime.

It is a super-2 number, since 2×13033101001981² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13033101001931) 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 as a sum of consecutive naturals, namely, 6516550500990 + 6516550500991.

It is an arithmetic number, because the mean of its divisors is an integer number (6516550500991).

Almost surely, 2^{13033101001981} is an apocalyptic number.

It is an amenable number.

13033101001981 is a deficient number, since it is larger than the sum of its proper divisors (1).

13033101001981 is an equidigital number, since it uses as much as digits as its factorization.

13033101001981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 13033101001981 in words is "thirteen trillion, thirty-three billion, one hundred one million, one thousand, nine hundred eighty-one".