101323330311000 has 256 divisors, whose sum is σ = 361671627432960. Its totient is φ = 23135158041600.

The previous prime is 101323330310977. The next prime is 101323330311017. The reversal of 101323330311000 is 113033323101.

101323330311000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101323330311000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 17339524 + ... + 22434476.

It is an arithmetic number, because the mean of its divisors is an integer number (1412779794660).

Almost surely, 2^{101323330311000} is an apocalyptic number.

101323330311000 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 101323330311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180835813716480).

101323330311000 is an abundant number, since it is smaller than the sum of its proper divisors (260348297121960).

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

101323330311000 is a wasteful number, since it uses less digits than its factorization.

101323330311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095931 (or 5095917 counting only the distinct ones).

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

Adding to 101323330311000 its reverse (113033323101), we get a palindrome (101436363634101).

The spelling of 101323330311000 in words is "one hundred one trillion, three hundred twenty-three billion, three hundred thirty million, three hundred eleven thousand".