101131322312233 has 2 divisors, whose sum is σ = 101131322312234. Its totient is φ = 101131322312232.

The previous prime is 101131322312183. The next prime is 101131322312257. The reversal of 101131322312233 is 332213223131101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68340031840809 + 32791290471424 = 8266803^2 + 5726368^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131322312233 - 2²⁹ = 101130785441321 is a prime.

It is not a weakly prime, because it can be changed into another prime (101131322312833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565661156116 + 50565661156117.

It is an arithmetic number, because the mean of its divisors is an integer number (50565661156117).

Almost surely, 2^{101131322312233} is an apocalyptic number.

It is an amenable number.

101131322312233 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131322312233 is an equidigital number, since it uses as much as digits as its factorization.

101131322312233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 101131322312233 its reverse (332213223131101), we get a palindrome (433344545443334).

The spelling of 101131322312233 in words is "one hundred one trillion, one hundred thirty-one billion, three hundred twenty-two million, three hundred twelve thousand, two hundred thirty-three".