100301303130000 has 600 divisors, whose sum is σ = 377262860765472. Its totient is φ = 22888647936000.

The previous prime is 100301303129987. The next prime is 100301303130031. The reversal of 100301303130000 is 31303103001.

100301303130000 is digitally balanced in base 3 and base 4, because in such bases 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 (600).

It is a super-2 number, since 2×100301303130000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 906934707 + ... + 907045293.

Almost surely, 2^{100301303130000} is an apocalyptic number.

100301303130000 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 100301303130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188631430382736).

100301303130000 is an abundant number, since it is smaller than the sum of its proper divisors (276961557635472).

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

100301303130000 is a wasteful number, since it uses less digits than its factorization.

100301303130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111249 (or 111221 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 100301303130000 its reverse (31303103001), we get a palindrome (100332606233001).

The spelling of 100301303130000 in words is "one hundred trillion, three hundred one billion, three hundred three million, one hundred thirty thousand".