13023111132031 has 32 divisors (see below), whose sum is σ = 17486019887616. Its totient is φ = 9367034832000.

The previous prime is 13023111131993. The next prime is 13023111132043.

13023111132031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13023111132031 - 2²⁷ = 13022976914303 is a prime.

It is a super-2 number, since 2×13023111132031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13023111131993 and 13023111132011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023111132331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45594321 + ... + 45879061.

It is an arithmetic number, because the mean of its divisors is an integer number (546438121488).

Almost surely, 2^{13023111132031} is an apocalyptic number.

13023111132031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13023111132031 is a deficient number, since it is larger than the sum of its proper divisors (4462908755585).

13023111132031 is a wasteful number, since it uses less digits than its factorization.

13023111132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330463.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 1302311 and 1132031, that added together give a palindrome (2434342).

The spelling of 13023111132031 in words is "thirteen trillion, twenty-three billion, one hundred eleven million, one hundred thirty-two thousand, thirty-one".