131033411040 has 192 divisors, whose sum is σ = 471896699904. Its totient is φ = 29939294208.

The previous prime is 131033411027. The next prime is 131033411059. The reversal of 131033411040 is 40114330131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131033410998 and 131033411016.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11845192 + ... + 11856248.

It is an arithmetic number, because the mean of its divisors is an integer number (2457795312).

Almost surely, 2^131033411040 is an apocalyptic number.

131033411040 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 131033411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235948349952).

131033411040 is an abundant number, since it is smaller than the sum of its proper divisors (340863288864).

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

131033411040 is a wasteful number, since it uses less digits than its factorization.

131033411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14609 (or 14601 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131033411040 its reverse (40114330131), we get a palindrome (171147741171).

The spelling of 131033411040 in words is "one hundred thirty-one billion, thirty-three million, four hundred eleven thousand, forty".