223123221101013 has 32 divisors (see below), whose sum is σ = 317713408819200. Its totient is φ = 138973695806400.

The previous prime is 223123221100963. The next prime is 223123221101029. The reversal of 223123221101013 is 310101122321322.

It is not a de Polignac number, because 223123221101013 - 2¹⁴ = 223123221084629 is a prime.

It is a super-3 number, since 3×223123221101013³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223123221109013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25111228 + ... + 32814938.

It is an arithmetic number, because the mean of its divisors is an integer number (9928544025600).

Almost surely, 2^{223123221101013} is an apocalyptic number.

It is an amenable number.

223123221101013 is a deficient number, since it is larger than the sum of its proper divisors (94590187718187).

223123221101013 is a wasteful number, since it uses less digits than its factorization.

223123221101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714513.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 223123221101013 its reverse (310101122321322), we get a palindrome (533224343422335).

The spelling of 223123221101013 in words is "two hundred twenty-three trillion, one hundred twenty-three billion, two hundred twenty-one million, one hundred one thousand, thirteen".