111133112300010 has 384 divisors, whose sum is σ = 304783699371840. Its totient is φ = 28067310010368.

The previous prime is 111133112299969. The next prime is 111133112300033. The reversal of 111133112300010 is 10003211331111.

111133112300010 is a `hidden beast` number, since 1 + 1 + 11 + 331 + 12 + 300 + 0 + 10 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 32874478575129 + 78258633724881 = 5733627^2 + 8846391^2 .

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 191 ways as a sum of consecutive naturals, for example, 5761466446 + ... + 5761485734.

Almost surely, 2^{111133112300010} is an apocalyptic number.

111133112300010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111133112300010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152391849685920).

111133112300010 is an abundant number, since it is smaller than the sum of its proper divisors (193650587071830).

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

111133112300010 is a wasteful number, since it uses less digits than its factorization.

111133112300010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19722 (or 19719 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 111133112300010 its reverse (10003211331111), we get a palindrome (121136323631121).

The spelling of 111133112300010 in words is "one hundred eleven trillion, one hundred thirty-three billion, one hundred twelve million, three hundred thousand, ten".