1311121300 has 72 divisors (see below), whose sum is σ = 2896689600. Its totient is φ = 515032320.

The previous prime is 1311121297. The next prime is 1311121303. The reversal of 1311121300 is 31211131.

It is an interprime number because it is at equal distance from previous prime (1311121297) and next prime (1311121303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311121303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1592689 + ... + 1593511.

It is an arithmetic number, because the mean of its divisors is an integer number (40231800).

Almost surely, 2^1311121300 is an apocalyptic number.

1311121300 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 1311121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448344800).

1311121300 is an abundant number, since it is smaller than the sum of its proper divisors (1585568300).

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

1311121300 is a wasteful number, since it uses less digits than its factorization.

1311121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1311121300 is about 36209.4089982148. The cubic root of 1311121300 is about 1094.4962828469.

Adding to 1311121300 its reverse (31211131), we get a palindrome (1342332431).

The spelling of 1311121300 in words is "one billion, three hundred eleven million, one hundred twenty-one thousand, three hundred".