1311234100 has 108 divisors (see below), whose sum is σ = 3160297728. Its totient is φ = 468312000.

The previous prime is 1311234073. The next prime is 1311234107. The reversal of 1311234100 is 14321131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311234107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6865005 + ... + 6865195.

It is an arithmetic number, because the mean of its divisors is an integer number (29262016).

Almost surely, 2^1311234100 is an apocalyptic number.

1311234100 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 1311234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580148864).

1311234100 is an abundant number, since it is smaller than the sum of its proper divisors (1849063628).

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

1311234100 is a wasteful number, since it uses less digits than its factorization.

1311234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1311234100 is about 36210.9665709161. The cubic root of 1311234100 is about 1094.5276696302.

Adding to 1311234100 its reverse (14321131), we get a palindrome (1325555231).

The spelling of 1311234100 in words is "one billion, three hundred eleven million, two hundred thirty-four thousand, one hundred".