10123113013 has 48 divisors (see below), whose sum is σ = 11617519296. Its totient is φ = 8806786560.

The previous prime is 10123112983. The next prime is 10123113041. The reversal of 10123113013 is 31031132101.

10123113013 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 10123113013 - 2⁹ = 10123112501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123113313) 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 47 ways as a sum of consecutive naturals, for example, 30583258 + ... + 30583588.

It is an arithmetic number, because the mean of its divisors is an integer number (242031652).

Almost surely, 2^10123113013 is an apocalyptic number.

10123113013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10123113013 is a deficient number, since it is larger than the sum of its proper divisors (1494406283).

10123113013 is a wasteful number, since it uses less digits than its factorization.

10123113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10123113013 its reverse (31031132101), we get a palindrome (41154245114).

It can be divided in two parts, 101231 and 13013, that added together give a square (114244 = 338²).

The spelling of 10123113013 in words is "ten billion, one hundred twenty-three million, one hundred thirteen thousand, thirteen".