101106013 has 2 divisors, whose sum is σ = 101106014. Its totient is φ = 101106012.

The previous prime is 101105981. The next prime is 101106023. The reversal of 101106013 is 310601101.

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., 100761444 + 344569 = 10038^2 + 587^2 .

It is a cyclic number.

It is not a de Polignac number, because 101106013 - 2⁵ = 101105981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101105984 and 101106002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101106023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50553006 + 50553007.

It is an arithmetic number, because the mean of its divisors is an integer number (50553007).

Almost surely, 2^101106013 is an apocalyptic number.

It is an amenable number.

101106013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101106013 is an equidigital number, since it uses as much as digits as its factorization.

101106013 is an evil number, because the sum of its binary digits is even.

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

The square root of 101106013 is about 10055.1485816968. The cubic root of 101106013 is about 465.8638322700.

Adding to 101106013 its reverse (310601101), we get a palindrome (411707114).

The spelling of 101106013 in words is "one hundred one million, one hundred six thousand, thirteen".