100313040768 has 256 divisors, whose sum is σ = 291351168000. Its totient is φ = 30451728384.

The previous prime is 100313040743. The next prime is 100313040769. The reversal of 100313040768 is 867040313001.

It is a super-2 number, since 2×100313040768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313040769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48064621 + ... + 48066707.

It is an arithmetic number, because the mean of its divisors is an integer number (1138090500).

Almost surely, 2^100313040768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100313040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145675584000).

100313040768 is an abundant number, since it is smaller than the sum of its proper divisors (191038127232).

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

100313040768 is a wasteful number, since it uses less digits than its factorization.

100313040768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 100313040768 its reverse (867040313001), we get a palindrome (967353353769).

The spelling of 100313040768 in words is "one hundred billion, three hundred thirteen million, forty thousand, seven hundred sixty-eight".