100323133231200 has 576 divisors, whose sum is σ = 364194648050688. Its totient is φ = 23778645606400.

The previous prime is 100323133231199. The next prime is 100323133231201. The reversal of 100323133231200 is 2132331323001.

It is an interprime number because it is at equal distance from previous prime (100323133231199) and next prime (100323133231201).

It is a super-2 number, since 2×100323133231200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100323133231201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1212220222 + ... + 1212302978.

It is an arithmetic number, because the mean of its divisors is an integer number (632282375088).

Almost surely, 2^{100323133231200} is an apocalyptic number.

100323133231200 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 100323133231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182097324025344).

100323133231200 is an abundant number, since it is smaller than the sum of its proper divisors (263871514819488).

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

100323133231200 is a wasteful number, since it uses less digits than its factorization.

100323133231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83815 (or 83802 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 100323133231200 its reverse (2132331323001), we get a palindrome (102455464554201).

The spelling of 100323133231200 in words is "one hundred trillion, three hundred twenty-three billion, one hundred thirty-three million, two hundred thirty-one thousand, two hundred".