131333103200031 has 32 divisors (see below), whose sum is σ = 176892038400000. Its totient is φ = 86669109606528.

The previous prime is 131333103200023. The next prime is 131333103200053. The reversal of 131333103200031 is 130002301333131.

It is not a de Polignac number, because 131333103200031 - 2³ = 131333103200023 is a prime.

It is a super-2 number, since 2×131333103200031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131333103199974 and 131333103200010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333103300031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274169976 + ... + 274648578.

It is an arithmetic number, because the mean of its divisors is an integer number (5527876200000).

Almost surely, 2^{131333103200031} is an apocalyptic number.

131333103200031 is a deficient number, since it is larger than the sum of its proper divisors (45558935199969).

131333103200031 is a wasteful number, since it uses less digits than its factorization.

131333103200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480863.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 131333103200031 its reverse (130002301333131), we get a palindrome (261335404533162).

The spelling of 131333103200031 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, one hundred three million, two hundred thousand, thirty-one".