101531993 has 2 divisors, whose sum is σ = 101531994. Its totient is φ = 101531992.

The previous prime is 101531909. The next prime is 101532043. The reversal of 101531993 is 399135101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89056969 + 12475024 = 9437^2 + 3532^2 .

It is an emirp because it is prime and its reverse (399135101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101531993 - 2¹² = 101527897 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101531593) 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, 50765996 + 50765997.

It is an arithmetic number, because the mean of its divisors is an integer number (50765997).

Almost surely, 2^101531993 is an apocalyptic number.

It is an amenable number.

101531993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101531993 is an equidigital number, since it uses as much as digits as its factorization.

101531993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 32.

The square root of 101531993 is about 10076.3085006365. The cubic root of 101531993 is about 466.5171749628.

The spelling of 101531993 in words is "one hundred one million, five hundred thirty-one thousand, nine hundred ninety-three".