101331257 has 2 divisors, whose sum is σ = 101331258. Its totient is φ = 101331256.

The previous prime is 101331239. The next prime is 101331259. The reversal of 101331257 is 752133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100721296 + 609961 = 10036^2 + 781^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331257 - 2⁶ = 101331193 is a prime.

Together with 101331259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101331259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665628 + 50665629.

It is an arithmetic number, because the mean of its divisors is an integer number (50665629).

Almost surely, 2^101331257 is an apocalyptic number.

It is an amenable number.

101331257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331257 is an equidigital number, since it uses as much as digits as its factorization.

101331257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 101331257 is about 10066.3427817654. The cubic root of 101331257 is about 466.2095262037.

Adding to 101331257 its reverse (752133101), we get a palindrome (853464358).

The spelling of 101331257 in words is "one hundred one million, three hundred thirty-one thousand, two hundred fifty-seven".