10020101313 has 16 divisors (see below), whose sum is σ = 13825982016. Its totient is φ = 6449901120.

The previous prime is 10020101281. The next prime is 10020101321. The reversal of 10020101313 is 31310102001.

10020101313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10020101313 - 2⁵ = 10020101281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10020101513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330006 + ... + 359087.

It is an arithmetic number, because the mean of its divisors is an integer number (864123876).

Almost surely, 2^10020101313 is an apocalyptic number.

It is an amenable number.

10020101313 is a deficient number, since it is larger than the sum of its proper divisors (3805880703).

10020101313 is a wasteful number, since it uses less digits than its factorization.

10020101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689264.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10020101313 its reverse (31310102001), we get a palindrome (41330203314).

The spelling of 10020101313 in words is "ten billion, twenty million, one hundred one thousand, three hundred thirteen".