2101311001513 has 2 divisors, whose sum is σ = 2101311001514. Its totient is φ = 2101311001512.

The previous prime is 2101311001463. The next prime is 2101311001553. The reversal of 2101311001513 is 3151001131012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1992128999184 + 109182002329 = 1411428^2 + 330427^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101311001513 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101311001553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050655500756 + 1050655500757.

It is an arithmetic number, because the mean of its divisors is an integer number (1050655500757).

Almost surely, 2^{2101311001513} is an apocalyptic number.

It is an amenable number.

2101311001513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101311001513 is an equidigital number, since it uses as much as digits as its factorization.

2101311001513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 19.

Adding to 2101311001513 its reverse (3151001131012), we get a palindrome (5252312132525).

The spelling of 2101311001513 in words is "two trillion, one hundred one billion, three hundred eleven million, one thousand, five hundred thirteen".