1001011232313 has 12 divisors (see below), whose sum is σ = 1462151239380. Its totient is φ = 659842609536.

The previous prime is 1001011232239. The next prime is 1001011232317. The reversal of 1001011232313 is 3132321101001.

1001011232313 is a `hidden beast` number, since 100 + 10 + 11 + 232 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 143011036224 + 858000196089 = 378168^2 + 926283^2 .

It is not a de Polignac number, because 1001011232313 - 2³⁷ = 863572278841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001011232317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624850156 + ... + 624851757.

It is an arithmetic number, because the mean of its divisors is an integer number (121845936615).

Almost surely, 2^{1001011232313} is an apocalyptic number.

It is an amenable number.

1001011232313 is a deficient number, since it is larger than the sum of its proper divisors (461140007067).

1001011232313 is a wasteful number, since it uses less digits than its factorization.

1001011232313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249702008 (or 1249702005 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1001011232313 its reverse (3132321101001), we get a palindrome (4133332333314).

The spelling of 1001011232313 in words is "one trillion, one billion, eleven million, two hundred thirty-two thousand, three hundred thirteen".