1311401100 has 144 divisors (see below), whose sum is σ = 3907194368. Its totient is φ = 339413760.

The previous prime is 1311401089. The next prime is 1311401137. The reversal of 1311401100 is 11041131.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3573117 + ... + 3573483.

Almost surely, 2^1311401100 is an apocalyptic number.

1311401100 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 1311401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953597184).

1311401100 is an abundant number, since it is smaller than the sum of its proper divisors (2595793268).

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

1311401100 is a wasteful number, since it uses less digits than its factorization.

1311401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

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

The square root of 1311401100 is about 36213.2724287657. The cubic root of 1311401100 is about 1094.5741343465.

Adding to 1311401100 its reverse (11041131), we get a palindrome (1322442231).

The spelling of 1311401100 in words is "one billion, three hundred eleven million, four hundred one thousand, one hundred".