101513417 has 8 divisors (see below), whose sum is σ = 104133120. Its totient is φ = 98900640.

The previous prime is 101513407. The next prime is 101513429. The reversal of 101513417 is 714315101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101513417 - 2⁸ = 101513161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101513392 and 101513401.

It is not an unprimeable number, because it can be changed into a prime (101513407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41408 + ... + 43790.

It is an arithmetic number, because the mean of its divisors is an integer number (13016640).

Almost surely, 2^101513417 is an apocalyptic number.

It is an amenable number.

101513417 is a deficient number, since it is larger than the sum of its proper divisors (2619703).

101513417 is a wasteful number, since it uses less digits than its factorization.

101513417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 101513417 is about 10075.3866923310. The cubic root of 101513417 is about 466.4887223496.

Adding to 101513417 its reverse (714315101), we get a palindrome (815828518).

The spelling of 101513417 in words is "one hundred one million, five hundred thirteen thousand, four hundred seventeen".