13010122101031 has 16 divisors (see below), whose sum is σ = 14250145190400. Its totient is φ = 11779651360000.

The previous prime is 13010122100953. The next prime is 13010122101083.

It is a happy number.

13010122101031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13010122101031 - 2⁷ = 13010122100903 is a prime.

It is a super-2 number, since 2×13010122101031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13010122100996 and 13010122101014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010122161031) 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, 58115010 + ... + 58338448.

It is an arithmetic number, because the mean of its divisors is an integer number (890634074400).

Almost surely, 2^{13010122101031} is an apocalyptic number.

13010122101031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13010122101031 is a deficient number, since it is larger than the sum of its proper divisors (1240023089369).

13010122101031 is a wasteful number, since it uses less digits than its factorization.

13010122101031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244790.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 1301012 and 2101031, that added together give a palindrome (3402043).

The spelling of 13010122101031 in words is "thirteen trillion, ten billion, one hundred twenty-two million, one hundred one thousand, thirty-one".