1311230400 has 168 divisors, whose sum is σ = 4555266480. Its totient is φ = 329072640.

The previous prime is 1311230381. The next prime is 1311230419. The reversal of 1311230400 is 40321131.

It is an interprime number because it is at equal distance from previous prime (1311230381) and next prime (1311230419).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1311230400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73566 + ... + 89634.

Almost surely, 2^1311230400 is an apocalyptic number.

1311230400 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 1311230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277633240).

1311230400 is an abundant number, since it is smaller than the sum of its proper divisors (3244036080).

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

1311230400 is a wasteful number, since it uses less digits than its factorization.

1311230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16111 (or 16096 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1311230400 is about 36210.9154813849. The cubic root of 1311230400 is about 1094.5266401278.

Adding to 1311230400 its reverse (40321131), we get a palindrome (1351551531).

The spelling of 1311230400 in words is "one billion, three hundred eleven million, two hundred thirty thousand, four hundred".