1311211400 has 48 divisors (see below), whose sum is σ = 3090362100. Its totient is φ = 517294080.

The previous prime is 1311211399. The next prime is 1311211403. The reversal of 1311211400 is 41121131.

It can be written as a sum of positive squares in 6 ways, for example, as 850422244 + 460789156 = 29162^2 + 21466^2 .

It is not an unprimeable number, because it can be changed into a prime (1311211403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30305 + ... + 59504.

Almost surely, 2^1311211400 is an apocalyptic number.

1311211400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311211400 is an abundant number, since it is smaller than the sum of its proper divisors (1779150700).

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

1311211400 is a wasteful number, since it uses less digits than its factorization.

1311211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89898 (or 89889 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1311211400 is about 36210.6531286029. The cubic root of 1311211400 is about 1094.5213534630.

Adding to 1311211400 its reverse (41121131), we get a palindrome (1352332531).

The spelling of 1311211400 in words is "one billion, three hundred eleven million, two hundred eleven thousand, four hundred".