100311133300000 has 576 divisors, whose sum is σ = 303766400206080. Its totient is φ = 31820451840000.

The previous prime is 100311133299991. The next prime is 100311133300003. The reversal of 100311133300000 is 3331113001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (100311133300003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 702028564 + ... + 702171436.

It is an arithmetic number, because the mean of its divisors is an integer number (527372222580).

Almost surely, 2^{100311133300000} is an apocalyptic number.

100311133300000 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 100311133300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151883200103040).

100311133300000 is an abundant number, since it is smaller than the sum of its proper divisors (203455266906080).

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

100311133300000 is an equidigital number, since it uses as much as digits as its factorization.

100311133300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142991 (or 142963 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 100311133300000 its reverse (3331113001), we get a palindrome (100314464413001).

The spelling of 100311133300000 in words is "one hundred trillion, three hundred eleven billion, one hundred thirty-three million, three hundred thousand".