2113201337101 has 2 divisors, whose sum is σ = 2113201337102. Its totient is φ = 2113201337100.

The previous prime is 2113201336997. The next prime is 2113201337147. The reversal of 2113201337101 is 1017331023112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1551833267076 + 561368070025 = 1245726^2 + 749245^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113201337101 - 2¹¹ = 2113201335053 is a prime.

It is a super-3 number, since 3×2113201337101³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2113201307101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056600668550 + 1056600668551.

It is an arithmetic number, because the mean of its divisors is an integer number (1056600668551).

Almost surely, 2^{2113201337101} is an apocalyptic number.

It is an amenable number.

2113201337101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113201337101 is an equidigital number, since it uses as much as digits as its factorization.

2113201337101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 25.

The spelling of 2113201337101 in words is "two trillion, one hundred thirteen billion, two hundred one million, three hundred thirty-seven thousand, one hundred one".