101223032013 has 12 divisors (see below), whose sum is σ = 146290923168. Its totient is φ = 67445155080.

The previous prime is 101223031967. The next prime is 101223032063. The reversal of 101223032013 is 310230322101.

101223032013 is a `hidden beast` number, since 101 + 2 + 230 + 320 + 13 = 666.

It is not a de Polignac number, because 101223032013 - 2⁹ = 101223031501 is a prime.

It is a super-2 number, since 2×101223032013² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223032063) 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, 3054795 + ... + 3087752.

It is an arithmetic number, because the mean of its divisors is an integer number (12190910264).

Almost surely, 2^101223032013 is an apocalyptic number.

It is an amenable number.

101223032013 is a deficient number, since it is larger than the sum of its proper divisors (45067891155).

101223032013 is a wasteful number, since it uses less digits than its factorization.

101223032013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144384 (or 6144381 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101223032013 its reverse (310230322101), we get a palindrome (411453354114).

The spelling of 101223032013 in words is "one hundred one billion, two hundred twenty-three million, thirty-two thousand, thirteen".