101003213 has 12 divisors (see below), whose sum is σ = 105575988. Its totient is φ = 96570240.

The previous prime is 101003209. The next prime is 101003233. The reversal of 101003213 is 312300101.

It can be written as a sum of positive squares in 6 ways, for example, as 1841449 + 99161764 = 1357^2 + 9958^2 .

It is not a de Polignac number, because 101003213 - 2² = 101003209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101003194 and 101003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114731 + ... + 115607.

It is an arithmetic number, because the mean of its divisors is an integer number (8797999).

Almost surely, 2^101003213 is an apocalyptic number.

It is an amenable number.

101003213 is a deficient number, since it is larger than the sum of its proper divisors (4572775).

101003213 is an frugal number, since it uses more digits than its factorization.

101003213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 101003213 is about 10050.0354725742. The cubic root of 101003213 is about 465.7058890025.

Adding to 101003213 its reverse (312300101), we get a palindrome (413303314).

The spelling of 101003213 in words is "one hundred one million, three thousand, two hundred thirteen".