13121033131031 has 16 divisors (see below), whose sum is σ = 15064284288768. Its totient is φ = 11195098041600.

The previous prime is 13121033130991. The next prime is 13121033131043. The reversal of 13121033131031 is 13013133012131.

It is a cyclic number.

It is not a de Polignac number, because 13121033131031 - 2¹⁴ = 13121033114647 is a prime.

It is a super-2 number, since 2×13121033131031² (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 = 13121033130988 and 13121033131006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121033131061) 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, 3238805 + ... + 6060686.

It is an arithmetic number, because the mean of its divisors is an integer number (941517768048).

Almost surely, 2^{13121033131031} is an apocalyptic number.

13121033131031 is a deficient number, since it is larger than the sum of its proper divisors (1943251157737).

13121033131031 is an equidigital number, since it uses as much as digits as its factorization.

13121033131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9300422.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13121033131031 its reverse (13013133012131), we get a palindrome (26134166143162).

The spelling of 13121033131031 in words is "thirteen trillion, one hundred twenty-one billion, thirty-three million, one hundred thirty-one thousand, thirty-one".