100315320000000 has 1280 divisors, whose sum is σ = 384007641937920. Its totient is φ = 22795776000000.

The previous prime is 100315319999953. The next prime is 100315320000011. The reversal of 100315320000000 is 23513001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 257879999806 + ... + 257880000194.

It is an arithmetic number, because the mean of its divisors is an integer number (300005970264).

Almost surely, 2^{100315320000000} is an apocalyptic number.

100315320000000 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 100315320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192003820968960).

100315320000000 is an abundant number, since it is smaller than the sum of its proper divisors (283692321937920).

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

100315320000000 is an frugal number, since it uses more digits than its factorization.

100315320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 100315320000000 its reverse (23513001), we get a palindrome (100315343513001).

The spelling of 100315320000000 in words is "one hundred trillion, three hundred fifteen billion, three hundred twenty million", and thus it is an aban number.