101311967 has 2 divisors, whose sum is σ = 101311968. Its totient is φ = 101311966.

The previous prime is 101311963. The next prime is 101311979. The reversal of 101311967 is 769113101.

It is a weak prime.

It is an emirp because it is prime and its reverse (769113101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101311967 - 2² = 101311963 is a prime.

It is a super-2 number, since 2×101311967² = 20528229314818178, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101311961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655983 + 50655984.

It is an arithmetic number, because the mean of its divisors is an integer number (50655984).

Almost surely, 2^101311967 is an apocalyptic number.

101311967 is a deficient number, since it is larger than the sum of its proper divisors (1).

101311967 is an equidigital number, since it uses as much as digits as its factorization.

101311967 is an evil number, because the sum of its binary digits is even.

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

The square root of 101311967 is about 10065.3845927515. The cubic root of 101311967 is about 466.1799408854.

Adding to 101311967 its product of nonzero digits (1134), we get a palindrome (101313101).

The spelling of 101311967 in words is "one hundred one million, three hundred eleven thousand, nine hundred sixty-seven".