101513101 has 2 divisors, whose sum is σ = 101513102. Its totient is φ = 101513100.

The previous prime is 101513081. The next prime is 101513123. The reversal of 101513101 is 101315101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89775625 + 11737476 = 9475^2 + 3426^2 .

It is a cyclic number.

It is not a de Polignac number, because 101513101 - 2¹⁹ = 100988813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101513141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50756550 + 50756551.

It is an arithmetic number, because the mean of its divisors is an integer number (50756551).

Almost surely, 2^101513101 is an apocalyptic number.

It is an amenable number.

101513101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101513101 is an equidigital number, since it uses as much as digits as its factorization.

101513101 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 13.

The square root of 101513101 is about 10075.3710105385. The cubic root of 101513101 is about 466.4882383065.

Adding to 101513101 its reverse (101315101), we get a palindrome (202828202).

The spelling of 101513101 in words is "one hundred one million, five hundred thirteen thousand, one hundred one".