10011211213337 has 2 divisors, whose sum is σ = 10011211213338. Its totient is φ = 10011211213336.

The previous prime is 10011211213313. The next prime is 10011211213349. The reversal of 10011211213337 is 73331211211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8084178606361 + 1927032606976 = 2843269^2 + 1388176^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011211213337 - 2¹⁸ = 10011210951193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011211213397) 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, 5005605606668 + 5005605606669.

It is an arithmetic number, because the mean of its divisors is an integer number (5005605606669).

Almost surely, 2^{10011211213337} is an apocalyptic number.

It is an amenable number.

10011211213337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011211213337 is an equidigital number, since it uses as much as digits as its factorization.

10011211213337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 10011211213337 its reverse (73331211211001), we get a palindrome (83342422424338).

The spelling of 10011211213337 in words is "ten trillion, eleven billion, two hundred eleven million, two hundred thirteen thousand, three hundred thirty-seven".