1312133460 has 96 divisors (see below), whose sum is σ = 4015872000. Its totient is φ = 317466240.

The previous prime is 1312133429. The next prime is 1312133477. The reversal of 1312133460 is 643312131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1312133460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393681 + ... + 396999.

It is an arithmetic number, because the mean of its divisors is an integer number (41832000).

Almost surely, 2^1312133460 is an apocalyptic number.

1312133460 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 1312133460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007936000).

1312133460 is an abundant number, since it is smaller than the sum of its proper divisors (2703738540).

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

1312133460 is a wasteful number, since it uses less digits than its factorization.

1312133460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1312133460 is about 36223.3827796356. The cubic root of 1312133460 is about 1094.7778536448. Note that the first 3 decimals are identical.

Adding to 1312133460 its reverse (643312131), we get a palindrome (1955445591).

The spelling of 1312133460 in words is "one billion, three hundred twelve million, one hundred thirty-three thousand, four hundred sixty".