101327112348 has 144 divisors (see below), whose sum is σ = 308143269504. Its totient is φ = 25607352960.

The previous prime is 101327112343. The next prime is 101327112349. The reversal of 101327112348 is 843211723101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101327112343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27615 + ... + 451017.

It is an arithmetic number, because the mean of its divisors is an integer number (2139883816).

Almost surely, 2^101327112348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101327112348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154071634752).

101327112348 is an abundant number, since it is smaller than the sum of its proper divisors (206816157156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101327112348 is a wasteful number, since it uses less digits than its factorization.

101327112348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423472 (or 423463 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 101327112348 its reverse (843211723101), we get a palindrome (944538835449).

The spelling of 101327112348 in words is "one hundred one billion, three hundred twenty-seven million, one hundred twelve thousand, three hundred forty-eight".