101323303031100 has 144 divisors (see below), whose sum is σ = 296726195808000. Its totient is φ = 26692465336320.

The previous prime is 101323303031057. The next prime is 101323303031141. The reversal of 101323303031100 is 1130303323101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7127676 + ... + 15920124.

It is an arithmetic number, because the mean of its divisors is an integer number (2060598582000).

Almost surely, 2^{101323303031100} is an apocalyptic number.

101323303031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101323303031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148363097904000).

101323303031100 is an abundant number, since it is smaller than the sum of its proper divisors (195402892776900).

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

101323303031100 is a wasteful number, since it uses less digits than its factorization.

101323303031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792932 (or 8792925 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 101323303031100 its reverse (1130303323101), we get a palindrome (102453606354201).

The spelling of 101323303031100 in words is "one hundred one trillion, three hundred twenty-three billion, three hundred three million, thirty-one thousand, one hundred".