1010313000 has 160 divisors (see below), whose sum is σ = 3531888360. Its totient is φ = 269395200.

The previous prime is 1010312983. The next prime is 1010313001. The reversal of 1010313000 is 3130101.

It can be written as a sum of positive squares in 4 ways, for example, as 394181316 + 616131684 = 19854^2 + 24822^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1010313001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74764 + ... + 87236.

Almost surely, 2^1010313000 is an apocalyptic number.

1010313000 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 1010313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765944180).

1010313000 is an abundant number, since it is smaller than the sum of its proper divisors (2521575360).

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

1010313000 is a wasteful number, since it uses less digits than its factorization.

1010313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12506 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1010313000 is about 31785.4211864496. The cubic root of 1010313000 is about 1003.4259163605.

Adding to 1010313000 its reverse (3130101), we get a palindrome (1013443101).

The spelling of 1010313000 in words is "one billion, ten million, three hundred thirteen thousand".