101231333122320 has 240 divisors, whose sum is σ = 352572772773312. Its totient is φ = 26994043307520.

The previous prime is 101231333122301. The next prime is 101231333122357. The reversal of 101231333122320 is 23221333132101.

101231333122320 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 1 + 3 + 331 + 2 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651803875 + ... + 651959165.

Almost surely, 2^{101231333122320} is an apocalyptic number.

101231333122320 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 101231333122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176286386386656).

101231333122320 is an abundant number, since it is smaller than the sum of its proper divisors (251341439650992).

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

101231333122320 is a wasteful number, since it uses less digits than its factorization.

101231333122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188852 (or 188834 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101231333122320 its reverse (23221333132101), we get a palindrome (124452666254421).

The spelling of 101231333122320 in words is "one hundred one trillion, two hundred thirty-one billion, three hundred thirty-three million, one hundred twenty-two thousand, three hundred twenty".