101131993 has 2 divisors, whose sum is σ = 101131994. Its totient is φ = 101131992.

The previous prime is 101131973. The next prime is 101132033. The reversal of 101131993 is 399131101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85155984 + 15976009 = 9228^2 + 3997^2 .

It is an emirp because it is prime and its reverse (399131101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101131993 is a prime.

It is not a weakly prime, because it can be changed into another prime (101131973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565996 + 50565997.

It is an arithmetic number, because the mean of its divisors is an integer number (50565997).

Almost surely, 2^101131993 is an apocalyptic number.

It is an amenable number.

101131993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131993 is an equidigital number, since it uses as much as digits as its factorization.

101131993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 28.

The square root of 101131993 is about 10056.4403742080. The cubic root of 101131993 is about 465.9037313340.

The spelling of 101131993 in words is "one hundred one million, one hundred thirty-one thousand, nine hundred ninety-three".