101223213 has 32 divisors (see below), whose sum is σ = 166656000. Its totient is φ = 53217216.

The previous prime is 101223197. The next prime is 101223233. The reversal of 101223213 is 312322101.

It is not a de Polignac number, because 101223213 - 2⁴ = 101223197 is a prime.

It is a super-2 number, since 2×101223213² = 20492277700086738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101223192 and 101223201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223233) 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 31 ways as a sum of consecutive naturals, for example, 163218 + ... + 163836.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2^101223213 is an apocalyptic number.

101223213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101223213 is a deficient number, since it is larger than the sum of its proper divisors (65432787).

101223213 is a wasteful number, since it uses less digits than its factorization.

101223213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101223213 is about 10060.9747539689. The cubic root of 101223213 is about 466.0437693359.

Adding to 101223213 its reverse (312322101), we get a palindrome (413545314).

The spelling of 101223213 in words is "one hundred one million, two hundred twenty-three thousand, two hundred thirteen".