20131233222013 has 2 divisors, whose sum is σ = 20131233222014. Its totient is φ = 20131233222012.

The previous prime is 20131233221977. The next prime is 20131233222041. The reversal of 20131233222013 is 31022233213102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18888393982084 + 1242839239929 = 4346078^2 + 1114827^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131233222013 - 2⁹ = 20131233221501 is a prime.

It is a super-4 number, since 4×20131233222013⁴ (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20131233222043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065616611006 + 10065616611007.

It is an arithmetic number, because the mean of its divisors is an integer number (10065616611007).

Almost surely, 2^{20131233222013} is an apocalyptic number.

It is an amenable number.

20131233222013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131233222013 is an equidigital number, since it uses as much as digits as its factorization.

20131233222013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 20131233222013 its reverse (31022233213102), we get a palindrome (51153466435115).

The spelling of 20131233222013 in words is "twenty trillion, one hundred thirty-one billion, two hundred thirty-three million, two hundred twenty-two thousand, thirteen".