100313111231100 has 216 divisors, whose sum is σ = 318109250204928. Its totient is φ = 26437746624000.

The previous prime is 100313111231041. The next prime is 100313111231107. The reversal of 100313111231100 is 1132111313001.

100313111231100 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 311 + 12 + 311 + 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 not an unprimeable number, because it can be changed into a prime (100313111231107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49640677 + ... + 51621923.

It is an arithmetic number, because the mean of its divisors is an integer number (1472728010208).

Almost surely, 2^{100313111231100} is an apocalyptic number.

100313111231100 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 100313111231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159054625102464).

100313111231100 is an abundant number, since it is smaller than the sum of its proper divisors (217796138973828).

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

100313111231100 is a wasteful number, since it uses less digits than its factorization.

100313111231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981925 (or 1981915 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 100313111231100 its reverse (1132111313001), we get a palindrome (101445222544101).

The spelling of 100313111231100 in words is "one hundred trillion, three hundred thirteen billion, one hundred eleven million, two hundred thirty-one thousand, one hundred".