36733736667101 has 2 divisors, whose sum is σ = 36733736667102. Its totient is φ = 36733736667100.

The previous prime is 36733736667073. The next prime is 36733736667109. The reversal of 36733736667101 is 10176663733763.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22778655744601 + 13955080922500 = 4772699^2 + 3735650^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36733736667101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36733736667109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18366868333550 + 18366868333551.

It is an arithmetic number, because the mean of its divisors is an integer number (18366868333551).

Almost surely, 2^{36733736667101} is an apocalyptic number.

It is an amenable number.

36733736667101 is a deficient number, since it is larger than the sum of its proper divisors (1).

36733736667101 is an equidigital number, since it uses as much as digits as its factorization.

36733736667101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36006768, while the sum is 59.

The spelling of 36733736667101 in words is "thirty-six trillion, seven hundred thirty-three billion, seven hundred thirty-six million, six hundred sixty-seven thousand, one hundred one".