1314101100 has 144 divisors (see below), whose sum is σ = 4164733440. Its totient is φ = 317932800.

The previous prime is 1314101023. The next prime is 1314101167. The reversal of 1314101100 is 11014131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 227245 + ... + 232955.

It is an arithmetic number, because the mean of its divisors is an integer number (28921760).

Almost surely, 2^1314101100 is an apocalyptic number.

1314101100 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 1314101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082366720).

1314101100 is an abundant number, since it is smaller than the sum of its proper divisors (2850632340).

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

1314101100 is a wasteful number, since it uses less digits than its factorization.

1314101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1314101100 is about 36250.5324098833. The cubic root of 1314101100 is about 1095.3248134625.

Adding to 1314101100 its reverse (11014131), we get a palindrome (1325115231).

The spelling of 1314101100 in words is "one billion, three hundred fourteen million, one hundred one thousand, one hundred".