101131967 has 2 divisors, whose sum is σ = 101131968. Its totient is φ = 101131966.

The previous prime is 101131879. The next prime is 101131969. The reversal of 101131967 is 769131101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101131967 - 2⁸ = 101131711 is a prime.

Together with 101131969, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101131969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565983 + 50565984.

It is an arithmetic number, because the mean of its divisors is an integer number (50565984).

Almost surely, 2^101131967 is an apocalyptic number.

101131967 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131967 is an equidigital number, since it uses as much as digits as its factorization.

101131967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 101131967 is about 10056.4390815039. The cubic root of 101131967 is about 465.9036914077.

The spelling of 101131967 in words is "one hundred one million, one hundred thirty-one thousand, nine hundred sixty-seven".