101013323232 has 96 divisors (see below), whose sum is σ = 266607936000. Its totient is φ = 33487612928.

The previous prime is 101013323209. The next prime is 101013323261. The reversal of 101013323232 is 232323310101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 101013323199 and 101013323208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21725644 + ... + 21730292.

It is an arithmetic number, because the mean of its divisors is an integer number (2777166000).

Almost surely, 2^101013323232 is an apocalyptic number.

101013323232 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 101013323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133303968000).

101013323232 is an abundant number, since it is smaller than the sum of its proper divisors (165594612768).

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

101013323232 is a wasteful number, since it uses less digits than its factorization.

101013323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101013323232 its reverse (232323310101), we get a palindrome (333336633333).

It can be divided in two parts, 10101 and 3323232, that added together give a palindrome (3333333).

The spelling of 101013323232 in words is "one hundred one billion, thirteen million, three hundred twenty-three thousand, two hundred thirty-two".