10012233313 has 8 divisors (see below), whose sum is σ = 10208067048. Its totient is φ = 9817985664.

The previous prime is 10012233307. The next prime is 10012233377. The reversal of 10012233313 is 31333221001.

10012233313 is digitally balanced in base 3, 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 5549058064 + 4463175249 = 74492^2 + 66807^2 .

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 10012233313 - 2²⁵ = 9978678881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012233013) 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, 383770 + ... + 409027.

It is an arithmetic number, because the mean of its divisors is an integer number (1276008381).

Almost surely, 2^10012233313 is an apocalyptic number.

It is an amenable number.

10012233313 is a deficient number, since it is larger than the sum of its proper divisors (195833735).

10012233313 is an equidigital number, since it uses as much as digits as its factorization.

10012233313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793043.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10012233313 its reverse (31333221001), we get a palindrome (41345454314).

The spelling of 10012233313 in words is "ten billion, twelve million, two hundred thirty-three thousand, three hundred thirteen".