100313100000 has 576 divisors, whose sum is σ = 373132992960. Its totient is φ = 26208000000.

The previous prime is 100313099923. The next prime is 100313100049. The reversal of 100313100000 is 1313001.

It is a super-2 number, since 2×100313100000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143099650 + ... + 143100350.

It is an arithmetic number, because the mean of its divisors is an integer number (647800335).

Almost surely, 2^100313100000 is an apocalyptic number.

100313100000 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 100313100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186566496480).

100313100000 is an abundant number, since it is smaller than the sum of its proper divisors (272819892960).

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

100313100000 is an frugal number, since it uses more digits than its factorization.

100313100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 100313100000 its reverse (1313001), we get a palindrome (100314413001).

The spelling of 100313100000 in words is "one hundred billion, three hundred thirteen million, one hundred thousand".