10100113337 has 2 divisors, whose sum is σ = 10100113338. Its totient is φ = 10100113336.

The previous prime is 10100113319. The next prime is 10100113339. The reversal of 10100113337 is 73331100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10043246656 + 56866681 = 100216^2 + 7541^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100113337 - 2⁶ = 10100113273 is a prime.

Together with 10100113339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10100113339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050056668 + 5050056669.

It is an arithmetic number, because the mean of its divisors is an integer number (5050056669).

Almost surely, 2^10100113337 is an apocalyptic number.

It is an amenable number.

10100113337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100113337 is an equidigital number, since it uses as much as digits as its factorization.

10100113337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

Adding to 10100113337 its reverse (73331100101), we get a palindrome (83431213438).

The spelling of 10100113337 in words is "ten billion, one hundred million, one hundred thirteen thousand, three hundred thirty-seven".