101331020323000 has 256 divisors, whose sum is σ = 256002364800000. Its totient is φ = 37319641920000.

The previous prime is 101331020322997. The next prime is 101331020323019. The reversal of 101331020323000 is 323020133101.

101331020323000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18494434261 + ... + 18494439739.

It is an arithmetic number, because the mean of its divisors is an integer number (1000009237500).

Almost surely, 2^{101331020323000} is an apocalyptic number.

101331020323000 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 101331020323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128001182400000).

101331020323000 is an abundant number, since it is smaller than the sum of its proper divisors (154671344477000).

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

101331020323000 is a wasteful number, since it uses less digits than its factorization.

101331020323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8863 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 101331020323000 its reverse (323020133101), we get a palindrome (101654040456101).

The spelling of 101331020323000 in words is "one hundred one trillion, three hundred thirty-one billion, twenty million, three hundred twenty-three thousand".