101513301 has 16 divisors (see below), whose sum is σ = 136913664. Its totient is φ = 66898944.

The previous prime is 101513287. The next prime is 101513317. The reversal of 101513301 is 103315101.

It is not a de Polignac number, because 101513301 - 2¹⁰ = 101512277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101513351) 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 15 ways as a sum of consecutive naturals, for example, 150501 + ... + 151173.

It is an arithmetic number, because the mean of its divisors is an integer number (8557104).

Almost surely, 2^101513301 is an apocalyptic number.

It is an amenable number.

101513301 is a deficient number, since it is larger than the sum of its proper divisors (35400363).

101513301 is a wasteful number, since it uses less digits than its factorization.

101513301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 101513301 is about 10075.3809357265. The cubic root of 101513301 is about 466.4885446630.

Adding to 101513301 its reverse (103315101), we get a palindrome (204828402).

The spelling of 101513301 in words is "one hundred one million, five hundred thirteen thousand, three hundred one".