10230100013 has 32 divisors (see below), whose sum is σ = 12468847104. Its totient is φ = 8193411072.

The previous prime is 10230099989. The next prime is 10230100043. The reversal of 10230100013 is 31000103201.

It is not a de Polignac number, because 10230100013 - 2¹⁸ = 10229837869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10230099967 and 10230100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230100043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16580081 + ... + 16580697.

It is an arithmetic number, because the mean of its divisors is an integer number (389651472).

Almost surely, 2^10230100013 is an apocalyptic number.

It is an amenable number.

10230100013 is a deficient number, since it is larger than the sum of its proper divisors (2238747091).

10230100013 is a wasteful number, since it uses less digits than its factorization.

10230100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10230100013 its reverse (31000103201), we get a palindrome (41230203214).

The spelling of 10230100013 in words is "ten billion, two hundred thirty million, one hundred thousand, thirteen".