10011113412300 has 864 divisors, whose sum is σ = 42384541215744. Its totient is φ = 1908686592000.

The previous prime is 10011113412299. The next prime is 10011113412353. The reversal of 10011113412300 is 321431111001.

It is a happy number.

10011113412300 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 11 + 341 + 2 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 150417030 + ... + 150483570.

Almost surely, 2^{10011113412300} is an apocalyptic number.

10011113412300 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 10011113412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21192270607872).

10011113412300 is an abundant number, since it is smaller than the sum of its proper divisors (32373427803444).

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

10011113412300 is a wasteful number, since it uses less digits than its factorization.

10011113412300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66759 (or 66749 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10011113412300 its reverse (321431111001), we get a palindrome (10332544523301).

The spelling of 10011113412300 in words is "ten trillion, eleven billion, one hundred thirteen million, four hundred twelve thousand, three hundred".