101513017 has 2 divisors, whose sum is σ = 101513018. Its totient is φ = 101513016.

The previous prime is 101513011. The next prime is 101513023. The reversal of 101513017 is 710315101.

It is a balanced prime because it is at equal distance from previous prime (101513011) and next prime (101513023).

It can be written as a sum of positive squares in only one way, i.e., 97140736 + 4372281 = 9856^2 + 2091^2 .

It is a cyclic number.

It is not a de Polignac number, because 101513017 - 2¹⁹ = 100988729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101512985 and 101513003.

It is not a weakly prime, because it can be changed into another prime (101513011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50756508 + 50756509.

It is an arithmetic number, because the mean of its divisors is an integer number (50756509).

Almost surely, 2^101513017 is an apocalyptic number.

It is an amenable number.

101513017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101513017 is an equidigital number, since it uses as much as digits as its factorization.

101513017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 19.

The square root of 101513017 is about 10075.3668419567. The cubic root of 101513017 is about 466.4881096367.

Adding to 101513017 its reverse (710315101), we get a palindrome (811828118).

The spelling of 101513017 in words is "one hundred one million, five hundred thirteen thousand, seventeen".