1313334000 has 600 divisors, whose sum is σ = 5292150864. Its totient is φ = 313632000.

The previous prime is 1313333909. The next prime is 1313334013. The reversal of 1313334000 is 4333131.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19601967 + ... + 19602033.

Almost surely, 2^1313334000 is an apocalyptic number.

1313334000 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 1313334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646075432).

1313334000 is an abundant number, since it is smaller than the sum of its proper divisors (3978816864).

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

1313334000 is a wasteful number, since it uses less digits than its factorization.

1313334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1313334000 is about 36239.9503310918. The cubic root of 1313334000 is about 1095.1116418353. Note that the first 3 decimals are identical.

Adding to 1313334000 its reverse (4333131), we get a palindrome (1317667131).

The spelling of 1313334000 in words is "one billion, three hundred thirteen million, three hundred thirty-four thousand".