1131412100 has 144 divisors (see below), whose sum is σ = 3054137856. Its totient is φ = 354240000.

The previous prime is 1131412099. The next prime is 1131412109. The reversal of 1131412100 is 12141311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1131412109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 918485 + ... + 919715.

Almost surely, 2^1131412100 is an apocalyptic number.

1131412100 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 1131412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527068928).

1131412100 is an abundant number, since it is smaller than the sum of its proper divisors (1922725756).

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

1131412100 is a wasteful number, since it uses less digits than its factorization.

1131412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1131412100 is about 33636.4697909873. The cubic root of 1131412100 is about 1042.0141256529.

Adding to 1131412100 its reverse (12141311), we get a palindrome (1143553411).

The spelling of 1131412100 in words is "one billion, one hundred thirty-one million, four hundred twelve thousand, one hundred".