101223313 has 2 divisors, whose sum is σ = 101223314. Its totient is φ = 101223312.

The previous prime is 101223271. The next prime is 101223319. The reversal of 101223313 is 313322101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76947984 + 24275329 = 8772^2 + 4927^2 .

It is a cyclic number.

It is not a de Polignac number, because 101223313 - 2¹⁷ = 101092241 is a prime.

It is not a weakly prime, because it can be changed into another prime (101223319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611656 + 50611657.

It is an arithmetic number, because the mean of its divisors is an integer number (50611657).

Almost surely, 2^101223313 is an apocalyptic number.

It is an amenable number.

101223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101223313 is an equidigital number, since it uses as much as digits as its factorization.

101223313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 101223313 is about 10060.9797236651. The cubic root of 101223313 is about 466.0439228065.

Adding to 101223313 its reverse (313322101), we get a palindrome (414545414).

The spelling of 101223313 in words is "one hundred one million, two hundred twenty-three thousand, three hundred thirteen".