100020320311000 has 128 divisors (see below), whose sum is σ = 235507899893760. Its totient is φ = 39758546736000.

The previous prime is 100020320310961. The next prime is 100020320311001. The reversal of 100020320311000 is 113023020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020320311001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1924515015 + ... + 1924566985.

It is an arithmetic number, because the mean of its divisors is an integer number (1839905467920).

Almost surely, 2^{100020320311000} is an apocalyptic number.

100020320311000 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 100020320311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117753949946880).

100020320311000 is an abundant number, since it is smaller than the sum of its proper divisors (135487579582760).

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

100020320311000 is a wasteful number, since it uses less digits than its factorization.

100020320311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63962 (or 63948 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100020320311000 its reverse (113023020001), we get a palindrome (100133343331001).

The spelling of 100020320311000 in words is "one hundred trillion, twenty billion, three hundred twenty million, three hundred eleven thousand".