1313013000 has 256 divisors, whose sum is σ = 4462698240. Its totient is φ = 319488000.

The previous prime is 1313012999. The next prime is 1313013047. The reversal of 1313013000 is 3103131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5108872 + ... + 5109128.

It is an arithmetic number, because the mean of its divisors is an integer number (17432415).

Almost surely, 2^1313013000 is an apocalyptic number.

1313013000 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 1313013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231349120).

1313013000 is an abundant number, since it is smaller than the sum of its proper divisors (3149685240).

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

1313013000 is a wasteful number, since it uses less digits than its factorization.

1313013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1313013000 is about 36235.5212464234. The cubic root of 1313013000 is about 1095.0224135860.

Adding to 1313013000 its reverse (3103131), we get a palindrome (1316116131).

The spelling of 1313013000 in words is "one billion, three hundred thirteen million, thirteen thousand".