1010010313 has 8 divisors (see below), whose sum is σ = 1087976456. Its totient is φ = 932083200.

The previous prime is 1010010311. The next prime is 1010010361. The reversal of 1010010313 is 3130100101.

It can be written as a sum of positive squares in 4 ways, for example, as 22353984 + 987656329 = 4728^2 + 31427^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010010313 - 2¹ = 1010010311 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010010313.

It is not an unprimeable number, because it can be changed into a prime (1010010311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65593 + ... + 79513.

It is an arithmetic number, because the mean of its divisors is an integer number (135997057).

Almost surely, 2^1010010313 is an apocalyptic number.

1010010313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1010010313 is a deficient number, since it is larger than the sum of its proper divisors (77966143).

1010010313 is a wasteful number, since it uses less digits than its factorization.

1010010313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19515.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1010010313 is about 31780.6594173249. The cubic root of 1010010313 is about 1003.3256984687.

Adding to 1010010313 its reverse (3130100101), we get a palindrome (4140110414).

The spelling of 1010010313 in words is "one billion, ten million, ten thousand, three hundred thirteen".