100312310010000 has 400 divisors, whose sum is σ = 353401916186880. Its totient is φ = 24308354880000.

The previous prime is 100312310009969. The next prime is 100312310010007. The reversal of 100312310010000 is 10013213001.

100312310010000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100312310010007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 837810139 + ... + 837929861.

Almost surely, 2^{100312310010000} is an apocalyptic number.

100312310010000 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 100312310010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176700958093440).

100312310010000 is an abundant number, since it is smaller than the sum of its proper divisors (253089606176880).

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

100312310010000 is a wasteful number, since it uses less digits than its factorization.

100312310010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122304 (or 122283 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100312310010000 its reverse (10013213001), we get a palindrome (100322323223001).

The spelling of 100312310010000 in words is "one hundred trillion, three hundred twelve billion, three hundred ten million, ten thousand".