1000210001113 has 2 divisors, whose sum is σ = 1000210001114. Its totient is φ = 1000210001112.

The previous prime is 1000210001111. The next prime is 1000210001129. The reversal of 1000210001113 is 3111000120001.

1000210001113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 551413175184 + 448796825929 = 742572^2 + 669923^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000210001113 - 2¹ = 1000210001111 is a prime.

It is a super-2 number, since 2×1000210001113² (a number of 25 digits) contains 22 as substring.

Together with 1000210001111, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1000210001113.

It is not a weakly prime, because it can be changed into another prime (1000210001111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500105000556 + 500105000557.

It is an arithmetic number, because the mean of its divisors is an integer number (500105000557).

Almost surely, 2^{1000210001113} is an apocalyptic number.

It is an amenable number.

1000210001113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000210001113 is an equidigital number, since it uses as much as digits as its factorization.

1000210001113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1000210001113 its reverse (3111000120001), we get a palindrome (4111210121114).

The spelling of 1000210001113 in words is "one trillion, two hundred ten million, one thousand, one hundred thirteen".