1131121100032 has 288 divisors, whose sum is σ = 3018333265920. Its totient is φ = 409513328640.

The previous prime is 1131121100009. The next prime is 1131121100041. The reversal of 1131121100032 is 2300011211311.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1131121099979 and 1131121100015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26451853 + ... + 26494579.

It is an arithmetic number, because the mean of its divisors is an integer number (10480323840).

Almost surely, 2^{1131121100032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131121100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509166632960).

1131121100032 is an abundant number, since it is smaller than the sum of its proper divisors (1887212165888).

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

1131121100032 is a wasteful number, since it uses less digits than its factorization.

1131121100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42857 (or 42843 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1131121100032 its reverse (2300011211311), we get a palindrome (3431132311343).

The spelling of 1131121100032 in words is "one trillion, one hundred thirty-one billion, one hundred twenty-one million, one hundred thousand, thirty-two".