10123310331013 has 16 divisors (see below), whose sum is σ = 11186311541760. Its totient is φ = 9084153078000.

The previous prime is 10123310330989. The next prime is 10123310331047. The reversal of 10123310331013 is 31013301332101.

It is not a de Polignac number, because 10123310331013 - 2¹³ = 10123310322821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123310331073) 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, 1834006 + ... + 4859032.

It is an arithmetic number, because the mean of its divisors is an integer number (699144471360).

Almost surely, 2^{10123310331013} is an apocalyptic number.

It is an amenable number.

10123310331013 is a deficient number, since it is larger than the sum of its proper divisors (1063001210747).

10123310331013 is a wasteful number, since it uses less digits than its factorization.

10123310331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028968.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 10123310331013 its reverse (31013301332101), we get a palindrome (41136611663114).

The spelling of 10123310331013 in words is "ten trillion, one hundred twenty-three billion, three hundred ten million, three hundred thirty-one thousand, thirteen".