1311455320 has 128 divisors (see below), whose sum is σ = 3489868800. Its totient is φ = 434244096.

The previous prime is 1311455309. The next prime is 1311455329. The reversal of 1311455320 is 235541131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311455329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 993621 + ... + 994939.

It is an arithmetic number, because the mean of its divisors is an integer number (27264600).

Almost surely, 2^1311455320 is an apocalyptic number.

1311455320 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 1311455320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744934400).

1311455320 is an abundant number, since it is smaller than the sum of its proper divisors (2178413480).

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

1311455320 is a wasteful number, since it uses less digits than its factorization.

1311455320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1311455320 is about 36214.0210415800. The cubic root of 1311455320 is about 1094.5892192283.

Adding to 1311455320 its reverse (235541131), we get a palindrome (1546996451).

The spelling of 1311455320 in words is "one billion, three hundred eleven million, four hundred fifty-five thousand, three hundred twenty".