10123013313104 has 40 divisors (see below), whose sum is σ = 19890907097640. Its totient is φ = 4989938024448.

The previous prime is 10123013313041. The next prime is 10123013313131. The reversal of 10123013313104 is 40131331032101.

It can be written as a sum of positive squares in 4 ways, for example, as 4089859075600 + 6033154237504 = 2022340^2 + 2456248^2 .

It is a super-2 number, since 2×10123013313104² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10123013313104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675632 + ... + 4550000.

It is an arithmetic number, because the mean of its divisors is an integer number (497272677441).

Almost surely, 2^{10123013313104} is an apocalyptic number.

It is an amenable number.

10123013313104 is a deficient number, since it is larger than the sum of its proper divisors (9767893784536).

10123013313104 is a wasteful number, since it uses less digits than its factorization.

10123013313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876687 (or 3876681 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10123013313104 its reverse (40131331032101), we get a palindrome (50254344345205).

The spelling of 10123013313104 in words is "ten trillion, one hundred twenty-three billion, thirteen million, three hundred thirteen thousand, one hundred four".