1011333201120 has 576 divisors, whose sum is σ = 3903051350016. Its totient is φ = 236301373440.

The previous prime is 1011333201107. The next prime is 1011333201127. The reversal of 1011333201120 is 211023331101.

1011333201120 is a `hidden beast` number, since 1 + 0 + 11 + 333 + 201 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011333201093 and 1011333201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011333201127) 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, 62702497 + ... + 62718623.

It is an arithmetic number, because the mean of its divisors is an integer number (6776130816).

Almost surely, 2^{1011333201120} is an apocalyptic number.

1011333201120 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 1011333201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951525675008).

1011333201120 is an abundant number, since it is smaller than the sum of its proper divisors (2891718148896).

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

1011333201120 is a wasteful number, since it uses less digits than its factorization.

1011333201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16303 (or 16292 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1011333201120 its reverse (211023331101), we get a palindrome (1222356532221).

It can be divided in two parts, 10113 and 33201120, that added together give a palindrome (33211233).

The spelling of 1011333201120 in words is "one trillion, eleven billion, three hundred thirty-three million, two hundred one thousand, one hundred twenty".