1311323100 has 144 divisors (see below), whose sum is σ = 3892834176. Its totient is φ = 340704000.

The previous prime is 1311323093. The next prime is 1311323113. The reversal of 1311323100 is 13231131.

It is a super-2 number, since 2×1311323100² = 3439136545187220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

1311323100 is a Rhonda number in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 1311323100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2397027 + ... + 2397573.

Almost surely, 2^1311323100 is an apocalyptic number.

1311323100 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 1311323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946417088).

1311323100 is an abundant number, since it is smaller than the sum of its proper divisors (2581511076).

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

1311323100 is a wasteful number, since it uses less digits than its factorization.

1311323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1311323100 is about 36212.1954595410. The cubic root of 1311323100 is about 1094.5524327544.

Adding to 1311323100 its reverse (13231131), we get a palindrome (1324554231).

It can be divided in two parts, 131 and 1323100, that added together give a palindrome (1323231).

The spelling of 1311323100 in words is "one billion, three hundred eleven million, three hundred twenty-three thousand, one hundred".