101513 has 2 divisors, whose sum is σ = 101514. Its totient is φ = 101512.

The previous prime is 101503. The next prime is 101527. The reversal of 101513 is 315101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100489 + 1024 = 317^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 101513 - 2⁶ = 101449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101494 and 101503.

It is not a weakly prime, because it can be changed into another prime (101503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50756 + 50757.

It is an arithmetic number, because the mean of its divisors is an integer number (50757).

2¹⁰¹⁵¹³ is an apocalyptic number.

It is an amenable number.

101513 is a deficient number, since it is larger than the sum of its proper divisors (1).

101513 is an equidigital number, since it uses as much as digits as its factorization.

101513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 101513 is about 318.6110481449. The cubic root of 101513 is about 46.6488083596.

Adding to 101513 its reverse (315101), we get a palindrome (416614).

The spelling of 101513 in words is "one hundred one thousand, five hundred thirteen".