101601013 has 2 divisors, whose sum is σ = 101601014. Its totient is φ = 101601012.

The previous prime is 101600953. The next prime is 101601029. The reversal of 101601013 is 310106101.

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., 72029169 + 29571844 = 8487^2 + 5438^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101601013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101600984 and 101601002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101601083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50800506 + 50800507.

It is an arithmetic number, because the mean of its divisors is an integer number (50800507).

Almost surely, 2^101601013 is an apocalyptic number.

It is an amenable number.

101601013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101601013 is an equidigital number, since it uses as much as digits as its factorization.

101601013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 101601013 is about 10079.7327841565. The cubic root of 101601013 is about 466.6228615912.

Adding to 101601013 its reverse (310106101), we get a palindrome (411707114).

The spelling of 101601013 in words is "one hundred one million, six hundred one thousand, thirteen".