10223322233013 has 18 divisors (see below), whose sum is σ = 15050901116706. Its totient is φ = 6686952890592.

The previous prime is 10223322232961. The next prime is 10223322233039. The reversal of 10223322233013 is 31033222332201.

10223322233013 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 322 + 2 + 330 + 1 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6485665609809 + 3737656623204 = 2546697^2 + 1933302^2 .

It is not a de Polignac number, because 10223322233013 - 2¹⁶ = 10223322167477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223322273013) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 202168506 + ... + 202219067.

Almost surely, 2^{10223322233013} is an apocalyptic number.

It is an amenable number.

10223322233013 is a deficient number, since it is larger than the sum of its proper divisors (4827578883693).

10223322233013 is an equidigital number, since it uses as much as digits as its factorization.

10223322233013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404387685 (or 404387629 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10223322233013 its reverse (31033222332201), we get a palindrome (41256544565214).

The spelling of 10223322233013 in words is "ten trillion, two hundred twenty-three billion, three hundred twenty-two million, two hundred thirty-three thousand, thirteen".