13020101031 has 16 divisors (see below), whose sum is σ = 19842577664. Its totient is φ = 7439148864.

The previous prime is 13020101023. The next prime is 13020101093. The reversal of 13020101031 is 13010102031.

13020101031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13020101031 - 2³ = 13020101023 is a prime.

It is a super-2 number, since 2×13020101031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13020100998 and 13020101016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162876 + ... + 229278.

It is an arithmetic number, because the mean of its divisors is an integer number (1240161104).

Almost surely, 2^13020101031 is an apocalyptic number.

13020101031 is a deficient number, since it is larger than the sum of its proper divisors (6822476633).

13020101031 is an equidigital number, since it uses as much as digits as its factorization.

13020101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75750.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13020101031 its reverse (13010102031), we get a palindrome (26030203062).

The spelling of 13020101031 in words is "thirteen billion, twenty million, one hundred one thousand, thirty-one".