1311340400 has 60 divisors (see below), whose sum is σ = 3287496432. Its totient is φ = 501726720.

The previous prime is 1311340367. The next prime is 1311340403. The reversal of 1311340400 is 40431131.

It is a super-2 number, since 2×1311340400² = 3439227289344320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311340403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62069 + ... + 80468.

Almost surely, 2^1311340400 is an apocalyptic number.

1311340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311340400 is an abundant number, since it is smaller than the sum of its proper divisors (1976156032).

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

1311340400 is a wasteful number, since it uses less digits than its factorization.

1311340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142578 (or 142567 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1311340400 is about 36212.4343285563. The cubic root of 1311340400 is about 1094.5572461305.

Adding to 1311340400 its reverse (40431131), we get a palindrome (1351771531).

The spelling of 1311340400 in words is "one billion, three hundred eleven million, three hundred forty thousand, four hundred".