10032100313 has 2 divisors, whose sum is σ = 10032100314. Its totient is φ = 10032100312.

The previous prime is 10032100291. The next prime is 10032100343. The reversal of 10032100313 is 31300123001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5525394889 + 4506705424 = 74333^2 + 67132^2 .

It is a cyclic number.

It is not a de Polignac number, because 10032100313 - 2⁶ = 10032100249 is a prime.

It is a super-3 number, since 3×10032100313³ (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10032100343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016050156 + 5016050157.

It is an arithmetic number, because the mean of its divisors is an integer number (5016050157).

Almost surely, 2^10032100313 is an apocalyptic number.

It is an amenable number.

10032100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032100313 is an equidigital number, since it uses as much as digits as its factorization.

10032100313 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10032100313 its reverse (31300123001), we get a palindrome (41332223314).

The spelling of 10032100313 in words is "ten billion, thirty-two million, one hundred thousand, three hundred thirteen".