101331021123312 has 160 divisors (see below), whose sum is σ = 269278631731200. Its totient is φ = 32811358694400.

The previous prime is 101331021123259. The next prime is 101331021123401. The reversal of 101331021123312 is 213321120133101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3056633937 + ... + 3056667087.

It is an arithmetic number, because the mean of its divisors is an integer number (1682991448320).

Almost surely, 2^{101331021123312} is an apocalyptic number.

101331021123312 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 101331021123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134639315865600).

101331021123312 is an abundant number, since it is smaller than the sum of its proper divisors (167947610607888).

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

101331021123312 is a wasteful number, since it uses less digits than its factorization.

101331021123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35911 (or 35905 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101331021123312 its reverse (213321120133101), we get a palindrome (314652141256413).

The spelling of 101331021123312 in words is "one hundred one trillion, three hundred thirty-one billion, twenty-one million, one hundred twenty-three thousand, three hundred twelve".