100313510000 has 200 divisors, whose sum is σ = 270599180544. Its totient is φ = 35699680000.

The previous prime is 100313509963. The next prime is 100313510029. The reversal of 100313510000 is 15313001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5160299 + ... + 5179701.

Almost surely, 2^100313510000 is an apocalyptic number.

100313510000 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 100313510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135299590272).

100313510000 is an abundant number, since it is smaller than the sum of its proper divisors (170285670544).

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

100313510000 is a wasteful number, since it uses less digits than its factorization.

100313510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19489 (or 19468 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

Adding to 100313510000 its reverse (15313001), we get a palindrome (100328823001).

The spelling of 100313510000 in words is "one hundred billion, three hundred thirteen million, five hundred ten thousand".