101003323231032 has 128 divisors (see below), whose sum is σ = 258199868160000. Its totient is φ = 32910691562496.

The previous prime is 101003323230983. The next prime is 101003323231037. The reversal of 101003323231032 is 230132323300101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101003323230993 and 101003323231011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003323231037) 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, 4737703269 + ... + 4737724587.

It is an arithmetic number, because the mean of its divisors is an integer number (2017186470000).

Almost surely, 2^{101003323231032} is an apocalyptic number.

101003323231032 is a gapful number since it is divisible by the number (12) 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 101003323231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129099934080000).

101003323231032 is an abundant number, since it is smaller than the sum of its proper divisors (157196544928968).

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

101003323231032 is a wasteful number, since it uses less digits than its factorization.

101003323231032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26373 (or 26369 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 101003323231032 its reverse (230132323300101), we get a palindrome (331135646531133).

The spelling of 101003323231032 in words is "one hundred one trillion, three billion, three hundred twenty-three million, two hundred thirty-one thousand, thirty-two".