101223331001137 has 2 divisors, whose sum is σ = 101223331001138. Its totient is φ = 101223331001136.

The previous prime is 101223331001077. The next prime is 101223331001147. The reversal of 101223331001137 is 731100133322101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59070307289841 + 42153023711296 = 7685721^2 + 6492536^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101223331001137 is a prime.

It is not a weakly prime, because it can be changed into another prime (101223331001147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611665500568 + 50611665500569.

It is an arithmetic number, because the mean of its divisors is an integer number (50611665500569).

Almost surely, 2^{101223331001137} is an apocalyptic number.

It is an amenable number.

101223331001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101223331001137 is an equidigital number, since it uses as much as digits as its factorization.

101223331001137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

Adding to 101223331001137 its reverse (731100133322101), we get a palindrome (832323464323238).

The spelling of 101223331001137 in words is "one hundred one trillion, two hundred twenty-three billion, three hundred thirty-one million, one thousand, one hundred thirty-seven".