101249213 has 8 divisors (see below), whose sum is σ = 111697656. Its totient is φ = 91180800.

The previous prime is 101249209. The next prime is 101249221. The reversal of 101249213 is 312942101.

It can be written as a sum of positive squares in 4 ways, for example, as 85849 + 101163364 = 293^2 + 10058^2 .

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 101249213 - 2² = 101249209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101249273) 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, 94448 + ... + 95513.

It is an arithmetic number, because the mean of its divisors is an integer number (13962207).

Almost surely, 2^101249213 is an apocalyptic number.

101249213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101249213 is a deficient number, since it is larger than the sum of its proper divisors (10448443).

101249213 is a wasteful number, since it uses less digits than its factorization.

101249213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190015.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 101249213 is about 10062.2667923287. The cubic root of 101249213 is about 466.0836682890.

The spelling of 101249213 in words is "one hundred one million, two hundred forty-nine thousand, two hundred thirteen".