20112100313 has 2 divisors, whose sum is σ = 20112100314. Its totient is φ = 20112100312.

The previous prime is 20112100277. The next prime is 20112100331. The reversal of 20112100313 is 31300121102.

Together with next prime (20112100331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18243094489 + 1869005824 = 135067^2 + 43232^2 .

It is a cyclic number.

It is not a de Polignac number, because 20112100313 - 2¹⁰ = 20112099289 is a prime.

It is not a weakly prime, because it can be changed into another prime (20112100373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10056050156 + 10056050157.

It is an arithmetic number, because the mean of its divisors is an integer number (10056050157).

Almost surely, 2^20112100313 is an apocalyptic number.

It is an amenable number.

20112100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

20112100313 is an equidigital number, since it uses as much as digits as its factorization.

20112100313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 20112100313 its reverse (31300121102), we get a palindrome (51412221415).

The spelling of 20112100313 in words is "twenty billion, one hundred twelve million, one hundred thousand, three hundred thirteen".