200101312013 has 2 divisors, whose sum is σ = 200101312014. Its totient is φ = 200101312012.

The previous prime is 200101312001. The next prime is 200101312031. The reversal of 200101312013 is 310213101002.

Together with next prime (200101312031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141739449289 + 58361862724 = 376483^2 + 241582^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-200101312013 is a prime.

It is a super-2 number, since 2×200101312013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200101312063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100050656006 + 100050656007.

It is an arithmetic number, because the mean of its divisors is an integer number (100050656007).

Almost surely, 2^200101312013 is an apocalyptic number.

It is an amenable number.

200101312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

200101312013 is an equidigital number, since it uses as much as digits as its factorization.

200101312013 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 200101312013 its reverse (310213101002), we get a palindrome (510314413015).

The spelling of 200101312013 in words is "two hundred billion, one hundred one million, three hundred twelve thousand, thirteen".