10034233313 has 8 divisors (see below), whose sum is σ = 10845112488. Its totient is φ = 9228927744.

The previous prime is 10034233273. The next prime is 10034233351. The reversal of 10034233313 is 31333243001.

It can be written as a sum of positive squares in 4 ways, for example, as 735874129 + 9298359184 = 27127^2 + 96428^2 .

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 10034233313 - 2⁶ = 10034233249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10034233373) 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, 1389656 + ... + 1396857.

It is an arithmetic number, because the mean of its divisors is an integer number (1355639061).

Almost surely, 2^10034233313 is an apocalyptic number.

10034233313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10034233313 is a deficient number, since it is larger than the sum of its proper divisors (810879175).

10034233313 is a wasteful number, since it uses less digits than its factorization.

10034233313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786803.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 10034233313 its reverse (31333243001), we get a palindrome (41367476314).

The spelling of 10034233313 in words is "ten billion, thirty-four million, two hundred thirty-three thousand, three hundred thirteen".