10111131345013 has 8 divisors (see below), whose sum is σ = 10153843523168. Its totient is φ = 10068468349104.

The previous prime is 10111131345011. The next prime is 10111131345019. The reversal of 10111131345013 is 31054313111101.

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

It is a cyclic number.

It is not a de Polignac number, because 10111131345013 - 2¹ = 10111131345011 is a prime.

It is a super-2 number, since 2×10111131345013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111131345011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11883495 + ... + 12705892.

It is an arithmetic number, because the mean of its divisors is an integer number (1269230440396).

Almost surely, 2^{10111131345013} is an apocalyptic number.

It is an amenable number.

10111131345013 is a deficient number, since it is larger than the sum of its proper divisors (42712178155).

10111131345013 is a wasteful number, since it uses less digits than its factorization.

10111131345013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24591123.

The product of its (nonzero) digits is 540, while the sum is 25.

Adding to 10111131345013 its reverse (31054313111101), we get a palindrome (41165444456114).

The spelling of 10111131345013 in words is "ten trillion, one hundred eleven billion, one hundred thirty-one million, three hundred forty-five thousand, thirteen".