131031432211020 has 192 divisors, whose sum is σ = 405167255539200. Its totient is φ = 31376580157440.

The previous prime is 131031432211013. The next prime is 131031432211039. The reversal of 131031432211020 is 20112234130131.

It is a super-2 number, since 2×131031432211020² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14447676 + ... + 21697884.

It is an arithmetic number, because the mean of its divisors is an integer number (2110246122600).

Almost surely, 2^{131031432211020} is an apocalyptic number.

131031432211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131031432211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202583627769600).

131031432211020 is an abundant number, since it is smaller than the sum of its proper divisors (274135823328180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131031432211020 is a wasteful number, since it uses less digits than its factorization.

131031432211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250568 (or 7250566 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131031432211020 its reverse (20112234130131), we get a palindrome (151143666341151).

The spelling of 131031432211020 in words is "one hundred thirty-one trillion, thirty-one billion, four hundred thirty-two million, two hundred eleven thousand, twenty".