101353013 has 8 divisors (see below), whose sum is σ = 103663800. Its totient is φ = 99057088.

The previous prime is 101353001. The next prime is 101353033. The reversal of 101353013 is 310353101.

It can be written as a sum of positive squares in 4 ways, for example, as 209764 + 101143249 = 458^2 + 10057^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101353013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101352982 and 101353000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101353033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10703 + ... + 17811.

It is an arithmetic number, because the mean of its divisors is an integer number (12957975).

Almost surely, 2^101353013 is an apocalyptic number.

It is an amenable number.

101353013 is a deficient number, since it is larger than the sum of its proper divisors (2310787).

101353013 is an equidigital number, since it uses as much as digits as its factorization.

101353013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 101353013 is about 10067.4233545630. The cubic root of 101353013 is about 466.2428891526.

The spelling of 101353013 in words is "one hundred one million, three hundred fifty-three thousand, thirteen".