2111021010013 has 2 divisors, whose sum is σ = 2111021010014. Its totient is φ = 2111021010012.

The previous prime is 2111021009989. The next prime is 2111021010017. The reversal of 2111021010013 is 3100101201112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1820065413604 + 290955596409 = 1349098^2 + 539403^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111021010013 - 2⁹ = 2111021009501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2111021009975 and 2111021010002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111021010017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055510505006 + 1055510505007.

It is an arithmetic number, because the mean of its divisors is an integer number (1055510505007).

Almost surely, 2^{2111021010013} is an apocalyptic number.

It is an amenable number.

2111021010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111021010013 is an equidigital number, since it uses as much as digits as its factorization.

2111021010013 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 13.

Adding to 2111021010013 its reverse (3100101201112), we get a palindrome (5211122211125).

The spelling of 2111021010013 in words is "two trillion, one hundred eleven billion, twenty-one million, ten thousand, thirteen".