1311414200 has 48 divisors (see below), whose sum is σ = 3209523000. Its totient is φ = 496955520.

The previous prime is 1311414131. The next prime is 1311414211. The reversal of 1311414200 is 24141131.

It is a happy number.

It is a congruent number.

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, 168755 + ... + 176354.

Almost surely, 2^1311414200 is an apocalyptic number.

1311414200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311414200 is an abundant number, since it is smaller than the sum of its proper divisors (1898108800).

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

1311414200 is a wasteful number, since it uses less digits than its factorization.

1311414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345144 (or 345135 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1311414200 is about 36213.4533012249. The cubic root of 1311414200 is about 1094.5777790167.

Adding to 1311414200 its reverse (24141131), we get a palindrome (1335555331).

The spelling of 1311414200 in words is "one billion, three hundred eleven million, four hundred fourteen thousand, two hundred".