2101000319113 has 2 divisors, whose sum is σ = 2101000319114. Its totient is φ = 2101000319112.

The previous prime is 2101000319063. The next prime is 2101000319123. The reversal of 2101000319113 is 3119130001012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2057870582784 + 43129736329 = 1434528^2 + 207677^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101000319113 - 2²¹ = 2100998221961 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101000319123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050500159556 + 1050500159557.

It is an arithmetic number, because the mean of its divisors is an integer number (1050500159557).

Almost surely, 2^{2101000319113} is an apocalyptic number.

It is an amenable number.

2101000319113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101000319113 is an equidigital number, since it uses as much as digits as its factorization.

2101000319113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 2101000319113 in words is "two trillion, one hundred one billion, three hundred nineteen thousand, one hundred thirteen".