223121131322013 has 20 divisors (see below), whose sum is σ = 347795901967008. Its totient is φ = 142280141711400.

The previous prime is 223121131322003. The next prime is 223121131322021. The reversal of 223121131322013 is 310223131121322.

223121131322013 is a `hidden beast` number, since 2 + 2 + 3 + 121 + 1 + 313 + 220 + 1 + 3 = 666.

It is not a de Polignac number, because 223121131322013 - 2³⁴ = 223103951452829 is a prime.

It is a super-3 number, since 3×223121131322013³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223121131322003) 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 19 ways as a sum of consecutive naturals, for example, 59882212663 + ... + 59882216388.

Almost surely, 2^{223121131322013} is an apocalyptic number.

223121131322013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

223121131322013 is a deficient number, since it is larger than the sum of its proper divisors (124674770644995).

223121131322013 is a wasteful number, since it uses less digits than its factorization.

223121131322013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119764429086 (or 119764429077 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 223121131322013 its reverse (310223131121322), we get a palindrome (533344262443335).

The spelling of 223121131322013 in words is "two hundred twenty-three trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred twenty-two thousand, thirteen".