2100011020013 has 2 divisors, whose sum is σ = 2100011020014. Its totient is φ = 2100011020012.

The previous prime is 2100011019989. The next prime is 2100011020033. The reversal of 2100011020013 is 3100201100012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1249930708009 + 850080312004 = 1118003^2 + 921998^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100011020013 - 2¹⁸ = 2100010757869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100011019976 and 2100011020003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100011020033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050005510006 + 1050005510007.

It is an arithmetic number, because the mean of its divisors is an integer number (1050005510007).

Almost surely, 2^{2100011020013} is an apocalyptic number.

It is an amenable number.

2100011020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100011020013 is an equidigital number, since it uses as much as digits as its factorization.

2100011020013 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 2100011020013 its reverse (3100201100012), we get a palindrome (5200212120025).

The spelling of 2100011020013 in words is "two trillion, one hundred billion, eleven million, twenty thousand, thirteen".