13010144101031 has 48 divisors (see below), whose sum is σ = 16678899941760. Its totient is φ = 10034183880000.

The previous prime is 13010144101027. The next prime is 13010144101033.

13010144101031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13010144101031 - 2² = 13010144101027 is a prime.

It is a super-2 number, since 2×13010144101031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13010144100994 and 13010144101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010144101033) 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 47 ways as a sum of consecutive naturals, for example, 177380036 + ... + 177453366.

It is an arithmetic number, because the mean of its divisors is an integer number (347477082120).

Almost surely, 2^{13010144101031} is an apocalyptic number.

13010144101031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13010144101031 is a deficient number, since it is larger than the sum of its proper divisors (3668755840729).

13010144101031 is a wasteful number, since it uses less digits than its factorization.

13010144101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76716 (or 76709 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1301014 and 4101031, that added together give a palindrome (5402045).

The spelling of 13010144101031 in words is "thirteen trillion, ten billion, one hundred forty-four million, one hundred one thousand, thirty-one".