100111311300 has 1152 divisors, whose sum is σ = 409221808128. Its totient is φ = 18229248000.

The previous prime is 100111311263. The next prime is 100111311317. The reversal of 100111311300 is 3113111001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 578678014 + ... + 578678186.

It is an arithmetic number, because the mean of its divisors is an integer number (355227264).

Almost surely, 2^100111311300 is an apocalyptic number.

100111311300 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 100111311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204610904064).

100111311300 is an abundant number, since it is smaller than the sum of its proper divisors (309110496828).

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

100111311300 is a wasteful number, since it uses less digits than its factorization.

100111311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 100111311300 its reverse (3113111001), we get a palindrome (103224422301).

The spelling of 100111311300 in words is "one hundred billion, one hundred eleven million, three hundred eleven thousand, three hundred".