10110310313013 has 16 divisors (see below), whose sum is σ = 15189198595200. Its totient is φ = 6645274382880.

The previous prime is 10110310312933. The next prime is 10110310313021. The reversal of 10110310313013 is 31031301301101.

10110310313013 is a `hidden beast` number, since 10 + 1 + 10 + 310 + 31 + 301 + 3 = 666.

It is not a de Polignac number, because 10110310313013 - 2¹⁷ = 10110310181941 is a prime.

It is a super-4 number, since 4×10110310313013⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110310313063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2637011728 + ... + 2637015561.

It is an arithmetic number, because the mean of its divisors is an integer number (949324912200).

Almost surely, 2^{10110310313013} is an apocalyptic number.

It is an amenable number.

10110310313013 is a deficient number, since it is larger than the sum of its proper divisors (5078888282187).

10110310313013 is an equidigital number, since it uses as much as digits as its factorization.

10110310313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274027369 (or 5274027363 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 10110310313013 its reverse (31031301301101), we get a palindrome (41141611614114).

The spelling of 10110310313013 in words is "ten trillion, one hundred ten billion, three hundred ten million, three hundred thirteen thousand, thirteen".