101113973 has 2 divisors, whose sum is σ = 101113974. Its totient is φ = 101113972.

The previous prime is 101113951. The next prime is 101113997. The reversal of 101113973 is 379311101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58629649 + 42484324 = 7657^2 + 6518^2 .

It is a cyclic number.

It is not a de Polignac number, because 101113973 - 2²⁴ = 84336757 is a prime.

It is a super-3 number, since 3×101113973³ (a number of 25 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101133973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556986 + 50556987.

It is an arithmetic number, because the mean of its divisors is an integer number (50556987).

Almost surely, 2^101113973 is an apocalyptic number.

It is an amenable number.

101113973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113973 is an equidigital number, since it uses as much as digits as its factorization.

101113973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 26.

The square root of 101113973 is about 10055.5443910312. The cubic root of 101113973 is about 465.8760576517.

The spelling of 101113973 in words is "one hundred one million, one hundred thirteen thousand, nine hundred seventy-three".