101112323013 has 48 divisors (see below), whose sum is σ = 159644459520. Its totient is φ = 61295097600.

The previous prime is 101112322999. The next prime is 101112323021. The reversal of 101112323013 is 310323211101.

It is not a de Polignac number, because 101112323013 - 2¹⁴ = 101112306629 is a prime.

It is a super-3 number, since 3×101112323013³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112323063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2804008 + ... + 2839838.

It is an arithmetic number, because the mean of its divisors is an integer number (3325926240).

Almost surely, 2^101112323013 is an apocalyptic number.

101112323013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101112323013 is a deficient number, since it is larger than the sum of its proper divisors (58532136507).

101112323013 is a wasteful number, since it uses less digits than its factorization.

101112323013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36210 (or 36207 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101112323013 its reverse (310323211101), we get a palindrome (411435534114).

The spelling of 101112323013 in words is "one hundred one billion, one hundred twelve million, three hundred twenty-three thousand, thirteen".