101332133100000 has 864 divisors, whose sum is σ = 403545788728992. Its totient is φ = 23901350400000.

The previous prime is 101332133099921. The next prime is 101332133100043. The reversal of 101332133100000 is 1331233101.

It is a happy number.

101332133100000 is a `hidden beast` number, since 1 + 0 + 1 + 332 + 1 + 331 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×101332133100000² (a number of 29 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 366161682 + ... + 366438318.

It is an arithmetic number, because the mean of its divisors is an integer number (467066885103).

Almost surely, 2^{101332133100000} is an apocalyptic number.

101332133100000 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 101332133100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201772894364496).

101332133100000 is an abundant number, since it is smaller than the sum of its proper divisors (302213655628992).

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

101332133100000 is a wasteful number, since it uses less digits than its factorization.

101332133100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276726 (or 276695 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101332133100000 its reverse (1331233101), we get a palindrome (101333464333101).

The spelling of 101332133100000 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred thirty-three million, one hundred thousand".