3200101313 has 2 divisors, whose sum is σ = 3200101314. Its totient is φ = 3200101312.

The previous prime is 3200101273. The next prime is 3200101321. The reversal of 3200101313 is 3131010023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2669582224 + 530519089 = 51668^2 + 23033^2 .

It is a cyclic number.

It is not a de Polignac number, because 3200101313 - 2¹⁴ = 3200084929 is a prime.

It is a super-3 number, since 3×3200101313³ (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3200101393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1600050656 + 1600050657.

It is an arithmetic number, because the mean of its divisors is an integer number (1600050657).

Almost surely, 2^3200101313 is an apocalyptic number.

It is an amenable number.

3200101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3200101313 is an equidigital number, since it uses as much as digits as its factorization.

3200101313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3200101313 is about 56569.4379767026. The cubic root of 3200101313 is about 1473.6281509705.

Adding to 3200101313 its reverse (3131010023), we get a palindrome (6331111336).

The spelling of 3200101313 in words is "three billion, two hundred million, one hundred one thousand, three hundred thirteen".