131031101201 has 16 divisors (see below), whose sum is σ = 175929871488. Its totient is φ = 94248144000.

The previous prime is 131031101191. The next prime is 131031101209. The reversal of 131031101201 is 102101130131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131031101201 - 2¹⁴ = 131031084817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131031101209) 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 15 ways as a sum of consecutive naturals, for example, 65449100 + ... + 65451101.

It is an arithmetic number, because the mean of its divisors is an integer number (10995616968).

Almost surely, 2^131031101201 is an apocalyptic number.

131031101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131031101201 is a deficient number, since it is larger than the sum of its proper divisors (44898770287).

131031101201 is a wasteful number, since it uses less digits than its factorization.

131031101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130900232.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 131031101201 its reverse (102101130131), we get a palindrome (233132231332).

It can be divided in two parts, 131031 and 101201, that added together give a palindrome (232232).

The spelling of 131031101201 in words is "one hundred thirty-one billion, thirty-one million, one hundred one thousand, two hundred one".