1001233513 has 12 divisors (see below), whose sum is σ = 1233213012. Its totient is φ = 807717120.

The previous prime is 1001233507. The next prime is 1001233517. The reversal of 1001233513 is 3153321001.

It can be written as a sum of positive squares in 2 ways, for example, as 367603929 + 633629584 = 19173^2 + 25172^2 .

It is not a de Polignac number, because 1001233513 - 2²⁹ = 464362601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001233517) 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, 600148 + ... + 601813.

It is an arithmetic number, because the mean of its divisors is an integer number (102767751).

Almost surely, 2^1001233513 is an apocalyptic number.

It is an amenable number.

1001233513 is a deficient number, since it is larger than the sum of its proper divisors (231979499).

1001233513 is a wasteful number, since it uses less digits than its factorization.

1001233513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201992 (or 1201985 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 1001233513 is about 31642.2741439360. The cubic root of 1001233513 is about 1000.4110020542.

Adding to 1001233513 its reverse (3153321001), we get a palindrome (4154554514).

The spelling of 1001233513 in words is "one billion, one million, two hundred thirty-three thousand, five hundred thirteen".