101223214313 has 32 divisors (see below), whose sum is σ = 112682132640. Its totient is φ = 90323804160.

The previous prime is 101223214307. The next prime is 101223214321. The reversal of 101223214313 is 313412322101.

It can be written as a sum of positive squares in 16 ways, for example, as 16813790224 + 84409424089 = 129668^2 + 290533^2 .

It is a cyclic number.

It is not a de Polignac number, because 101223214313 - 2⁶ = 101223214249 is a prime.

It is a super-2 number, since 2×101223214313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101223214333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59647481 + ... + 59649177.

It is an arithmetic number, because the mean of its divisors is an integer number (3521316645).

Almost surely, 2^101223214313 is an apocalyptic number.

101223214313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101223214313 is a deficient number, since it is larger than the sum of its proper divisors (11458918327).

101223214313 is a wasteful number, since it uses less digits than its factorization.

101223214313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 101223214313 its reverse (313412322101), we get a palindrome (414635536414).

The spelling of 101223214313 in words is "one hundred one billion, two hundred twenty-three million, two hundred fourteen thousand, three hundred thirteen".