10720137733 has 2 divisors, whose sum is σ = 10720137734. Its totient is φ = 10720137732.

The previous prime is 10720137731. The next prime is 10720137751. The reversal of 10720137733 is 33773102701.

10720137733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10642398244 + 77739489 = 103162^2 + 8817^2 .

It is a cyclic number.

It is not a de Polignac number, because 10720137733 - 2¹ = 10720137731 is a prime.

It is a super-2 number, since 2×10720137733² (a number of 21 digits) contains 22 as substring.

Together with 10720137731, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10720137731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5360068866 + 5360068867.

It is an arithmetic number, because the mean of its divisors is an integer number (5360068867).

Almost surely, 2^10720137733 is an apocalyptic number.

It is an amenable number.

10720137733 is a deficient number, since it is larger than the sum of its proper divisors (1).

10720137733 is an equidigital number, since it uses as much as digits as its factorization.

10720137733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18522, while the sum is 34.

The spelling of 10720137733 in words is "ten billion, seven hundred twenty million, one hundred thirty-seven thousand, seven hundred thirty-three".