1131431312100 has 72 divisors (see below), whose sum is σ = 3329092861920. Its totient is φ = 296601198080.

The previous prime is 1131431312027. The next prime is 1131431312131. The reversal of 1131431312100 is 12131341311.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31943637 + ... + 31979036.

It is an arithmetic number, because the mean of its divisors is an integer number (46237400860).

Almost surely, 2^{1131431312100} is an apocalyptic number.

1131431312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131431312100 is an abundant number, since it is smaller than the sum of its proper divisors (2197661549820).

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

1131431312100 is a wasteful number, since it uses less digits than its factorization.

1131431312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63922749 (or 63922742 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1131431312100 its reverse (12131341311), we get a palindrome (1143562653411).

The spelling of 1131431312100 in words is "one trillion, one hundred thirty-one billion, four hundred thirty-one million, three hundred twelve thousand, one hundred".