101333232000 has 3072 divisors, whose sum is σ = 528227481600. Its totient is φ = 17915904000.

The previous prime is 101333231999. The next prime is 101333232023. The reversal of 101333232000 is 232333101.

101333232000 is a `hidden beast` number, since 1 + 0 + 13 + 332 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2738735982 + ... + 2738736018.

It is an arithmetic number, because the mean of its divisors is an integer number (171949050).

Almost surely, 2^101333232000 is an apocalyptic number.

101333232000 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 101333232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264113740800).

101333232000 is an abundant number, since it is smaller than the sum of its proper divisors (426894249600).

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

101333232000 is a wasteful number, since it uses less digits than its factorization.

101333232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 101333232000 its reverse (232333101), we get a palindrome (101565565101).

It can be divided in two parts, 101333 and 232000, that added together give a palindrome (333333).

The spelling of 101333232000 in words is "one hundred one billion, three hundred thirty-three million, two hundred thirty-two thousand".