1013313000 has 256 divisors, whose sum is σ = 3668221440. Its totient is φ = 228096000.

The previous prime is 1013312977. The next prime is 1013313031. The reversal of 1013313000 is 3133101.

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, 1532670 + ... + 1533330.

It is an arithmetic number, because the mean of its divisors is an integer number (14328990).

Almost surely, 2^1013313000 is an apocalyptic number.

1013313000 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 1013313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834110720).

1013313000 is an abundant number, since it is smaller than the sum of its proper divisors (2654908440).

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

1013313000 is a wasteful number, since it uses less digits than its factorization.

1013313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 751 counting only the distinct ones).

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

The square root of 1013313000 is about 31832.5776524616. The cubic root of 1013313000 is about 1004.4181181518.

Adding to 1013313000 its reverse (3133101), we get a palindrome (1016446101).

The spelling of 1013313000 in words is "one billion, thirteen million, three hundred thirteen thousand".