10105310013 has 8 divisors (see below), whose sum is σ = 13479101376. Its totient is φ = 6734196000.

The previous prime is 10105310011. The next prime is 10105310029. The reversal of 10105310013 is 31001350101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10105310013 - 2¹ = 10105310011 is a prime.

It is a super-3 number, since 3×10105310013³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105309974 and 10105310001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105310011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 660513 + ... + 675638.

It is an arithmetic number, because the mean of its divisors is an integer number (1684887672).

Almost surely, 2^10105310013 is an apocalyptic number.

It is an amenable number.

10105310013 is a deficient number, since it is larger than the sum of its proper divisors (3373791363).

10105310013 is a wasteful number, since it uses less digits than its factorization.

10105310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338675.

The product of its (nonzero) digits is 45, while the sum is 15.

Adding to 10105310013 its reverse (31001350101), we get a palindrome (41106660114).

The spelling of 10105310013 in words is "ten billion, one hundred five million, three hundred ten thousand, thirteen".