100011013311300 has 288 divisors, whose sum is σ = 374886089088000. Its totient is φ = 19990633904640.

The previous prime is 100011013311299. The next prime is 100011013311301. The reversal of 100011013311300 is 3113310110001.

It is an interprime number because it is at equal distance from previous prime (100011013311299) and next prime (100011013311301).

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

It is a self number, because there is not a number n which added to its sum of digits gives 100011013311300.

It is not an unprimeable number, because it can be changed into a prime (100011013311301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95886750 + ... + 96924149.

Almost surely, 2^{100011013311300} is an apocalyptic number.

100011013311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011013311300 is an abundant number, since it is smaller than the sum of its proper divisors (274875075776700).

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

100011013311300 is a wasteful number, since it uses less digits than its factorization.

100011013311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192810955 (or 192810948 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 100011013311300 its reverse (3113310110001), we get a palindrome (103124323421301).

The spelling of 100011013311300 in words is "one hundred trillion, eleven billion, thirteen million, three hundred eleven thousand, three hundred".