1010113233313 has 8 divisors (see below), whose sum is σ = 1087064965800. Its totient is φ = 935109646080.

The previous prime is 1010113233307. The next prime is 1010113233421. The reversal of 1010113233313 is 3133323110101.

1010113233313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 665020944 + 1009448212369 = 25788^2 + 1004713^2 .

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 1010113233313 - 2⁵ = 1010113233281 is a prime.

It is a super-2 number, since 2×1010113233313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010113233713) 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, 487035238 + ... + 487037311.

It is an arithmetic number, because the mean of its divisors is an integer number (135883120725).

Almost surely, 2^{1010113233313} is an apocalyptic number.

It is an amenable number.

1010113233313 is a deficient number, since it is larger than the sum of its proper divisors (76951732487).

1010113233313 is an equidigital number, since it uses as much as digits as its factorization.

1010113233313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974072627.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1010113233313 its reverse (3133323110101), we get a palindrome (4143436343414).

The spelling of 1010113233313 in words is "one trillion, ten billion, one hundred thirteen million, two hundred thirty-three thousand, three hundred thirteen".