101123133310332 has 768 divisors, whose sum is σ = 339228599808000. Its totient is φ = 25713241344000.

The previous prime is 101123133310319. The next prime is 101123133310363. The reversal of 101123133310332 is 233013331321101.

101123133310332 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 3 + 13 + 3 + 310 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101123133310296 and 101123133310305.

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 255 ways as a sum of consecutive naturals, for example, 1248377832 + ... + 1248458832.

It is an arithmetic number, because the mean of its divisors is an integer number (441703906000).

Almost surely, 2^{101123133310332} is an apocalyptic number.

101123133310332 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 101123133310332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169614299904000).

101123133310332 is an abundant number, since it is smaller than the sum of its proper divisors (238105466497668).

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

101123133310332 is a wasteful number, since it uses less digits than its factorization.

101123133310332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81118 (or 81098 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 101123133310332 its reverse (233013331321101), we get a palindrome (334136464631433).

The spelling of 101123133310332 in words is "one hundred one trillion, one hundred twenty-three billion, one hundred thirty-three million, three hundred ten thousand, three hundred thirty-two".