1311003200 has 84 divisors (see below), whose sum is σ = 3474087540. Its totient is φ = 484055040.

The previous prime is 1311003179. The next prime is 1311003247. The reversal of 1311003200 is 23001131.

It can be written as a sum of positive squares in 6 ways, for example, as 1721344 + 1309281856 = 1312^2 + 36184^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10715 + ... + 52314.

It is an arithmetic number, because the mean of its divisors is an integer number (41358185).

Almost surely, 2^1311003200 is an apocalyptic number.

1311003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311003200 is an abundant number, since it is smaller than the sum of its proper divisors (2163084340).

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

1311003200 is a wasteful number, since it uses less digits than its factorization.

1311003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63064 (or 63049 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1311003200 is about 36207.7781698905. The cubic root of 1311003200 is about 1094.4634194009.

Adding to 1311003200 its reverse (23001131), we get a palindrome (1334004331).

It can be divided in two parts, 13 and 11003200, that multiplied together give a square (143041600 = 11960²).

The spelling of 1311003200 in words is "one billion, three hundred eleven million, three thousand, two hundred".