2101211013313 has 2 divisors, whose sum is σ = 2101211013314. Its totient is φ = 2101211013312.

The previous prime is 2101211013311. The next prime is 2101211013337. The reversal of 2101211013313 is 3133101121012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1244971703089 + 856239310224 = 1115783^2 + 925332^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101211013313 - 2¹ = 2101211013311 is a prime.

It is a super-3 number, since 3×2101211013313³ (a number of 38 digits) contains 333 as substring.

Together with 2101211013311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2101211013311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050605506656 + 1050605506657.

It is an arithmetic number, because the mean of its divisors is an integer number (1050605506657).

Almost surely, 2^{2101211013313} is an apocalyptic number.

It is an amenable number.

2101211013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101211013313 is an equidigital number, since it uses as much as digits as its factorization.

2101211013313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 2101211013313 its reverse (3133101121012), we get a palindrome (5234312134325).

The spelling of 2101211013313 in words is "two trillion, one hundred one billion, two hundred eleven million, thirteen thousand, three hundred thirteen".