101985313 has 2 divisors, whose sum is σ = 101985314. Its totient is φ = 101985312.

The previous prime is 101985277. The next prime is 101985341. The reversal of 101985313 is 313589101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86992929 + 14992384 = 9327^2 + 3872^2 .

It is a cyclic number.

It is not a de Polignac number, because 101985313 - 2¹³ = 101977121 is a prime.

It is not a weakly prime, because it can be changed into another prime (101985343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50992656 + 50992657.

It is an arithmetic number, because the mean of its divisors is an integer number (50992657).

Almost surely, 2^101985313 is an apocalyptic number.

It is an amenable number.

101985313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101985313 is an equidigital number, since it uses as much as digits as its factorization.

101985313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 101985313 is about 10098.7777973377. Note that the first 4 decimals coincide. The cubic root of 101985313 is about 467.2104461081.

The spelling of 101985313 in words is "one hundred one million, nine hundred eighty-five thousand, three hundred thirteen".