100313321130000 has 800 divisors, whose sum is σ = 395116082380800. Its totient is φ = 24157224000000.

The previous prime is 100313321129969. The next prime is 100313321130019. The reversal of 100313321130000 is 31123313001.

It is a happy number.

100313321130000 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 332 + 1 + 1 + 300 + 0 + 0 = 666.

It is a super-2 number, since 2×100313321130000² (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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 448358161 + ... + 448581839.

It is an arithmetic number, because the mean of its divisors is an integer number (493895102976).

Almost surely, 2^{100313321130000} is an apocalyptic number.

100313321130000 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 100313321130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197558041190400).

100313321130000 is an abundant number, since it is smaller than the sum of its proper divisors (294802761250800).

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

100313321130000 is a wasteful number, since it uses less digits than its factorization.

100313321130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223878 (or 223851 counting only the distinct ones).

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

Adding to 100313321130000 its reverse (31123313001), we get a palindrome (100344444443001).

The spelling of 100313321130000 in words is "one hundred trillion, three hundred thirteen billion, three hundred twenty-one million, one hundred thirty thousand".