1312133004 has 144 divisors (see below), whose sum is σ = 4182185280. Its totient is φ = 337582080.

The previous prime is 1312132999. The next prime is 1312133023. The reversal of 1312133004 is 4003312131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129432 + ... + 139200.

Almost surely, 2^1312133004 is an apocalyptic number.

1312133004 is a gapful number since it is divisible by the number (14) 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 1312133004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091092640).

1312133004 is an abundant number, since it is smaller than the sum of its proper divisors (2870052276).

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

1312133004 is a wasteful number, since it uses less digits than its factorization.

1312133004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9840 (or 9835 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1312133004 is about 36223.3764853582. The cubic root of 1312133004 is about 1094.7777268237. Note that the first 4 decimals are identical.

Adding to 1312133004 its reverse (4003312131), we get a palindrome (5315445135).

The spelling of 1312133004 in words is "one billion, three hundred twelve million, one hundred thirty-three thousand, four".