1020201002113 has 2 divisors, whose sum is σ = 1020201002114. Its totient is φ = 1020201002112.

The previous prime is 1020201002003. The next prime is 1020201002159. The reversal of 1020201002113 is 3112001020201.

1020201002113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 954779128384 + 65421873729 = 977128^2 + 255777^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020201002113 - 2²⁹ = 1019664131201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020201002093 and 1020201002102.

It is not a weakly prime, because it can be changed into another prime (1020201002213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510100501056 + 510100501057.

It is an arithmetic number, because the mean of its divisors is an integer number (510100501057).

Almost surely, 2^{1020201002113} is an apocalyptic number.

It is an amenable number.

1020201002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020201002113 is an equidigital number, since it uses as much as digits as its factorization.

1020201002113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1020201002113 its reverse (3112001020201), we get a palindrome (4132202022314).

The spelling of 1020201002113 in words is "one trillion, twenty billion, two hundred one million, two thousand, one hundred thirteen".