20001021000113 has 2 divisors, whose sum is σ = 20001021000114. Its totient is φ = 20001021000112.

The previous prime is 20001021000101. The next prime is 20001021000119. The reversal of 20001021000113 is 31100012010002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14517799309729 + 5483221690384 = 3810223^2 + 2341628^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001021000113 - 2⁸ = 20001020999857 is a prime.

It is a super-2 number, since 2×20001021000113² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20001021000094 and 20001021000103.

It is not a weakly prime, because it can be changed into another prime (20001021000119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000510500056 + 10000510500057.

It is an arithmetic number, because the mean of its divisors is an integer number (10000510500057).

Almost surely, 2^{20001021000113} is an apocalyptic number.

It is an amenable number.

20001021000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001021000113 is an equidigital number, since it uses as much as digits as its factorization.

20001021000113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 20001021000113 its reverse (31100012010002), we get a palindrome (51101033010115).

The spelling of 20001021000113 in words is "twenty trillion, one billion, twenty-one million, one hundred thirteen", and thus it is an aban number.