1131011012300 has 144 divisors (see below), whose sum is σ = 2656214491392. Its totient is φ = 415533676800.

The previous prime is 1131011012281. The next prime is 1131011012359. The reversal of 1131011012300 is 32101101311.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446862035 + ... + 446864565.

It is an arithmetic number, because the mean of its divisors is an integer number (18445933968).

Almost surely, 2^{1131011012300} is an apocalyptic number.

1131011012300 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 1131011012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328107245696).

1131011012300 is an abundant number, since it is smaller than the sum of its proper divisors (1525203479092).

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

1131011012300 is a wasteful number, since it uses less digits than its factorization.

1131011012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1131011012300 its reverse (32101101311), we get a palindrome (1163112113611).

The spelling of 1131011012300 in words is "one trillion, one hundred thirty-one billion, eleven million, twelve thousand, three hundred".