131000330011040 has 192 divisors, whose sum is σ = 354094244824320. Its totient is φ = 44864478167040.

The previous prime is 131000330011013. The next prime is 131000330011051. The reversal of 131000330011040 is 40110033000131.

It is a super-2 number, since 2×131000330011040² (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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3849197864 + ... + 3849231896.

It is an arithmetic number, because the mean of its divisors is an integer number (1844240858460).

Almost surely, 2^{131000330011040} is an apocalyptic number.

131000330011040 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 131000330011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177047122412160).

131000330011040 is an abundant number, since it is smaller than the sum of its proper divisors (223093914813280).

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

131000330011040 is a wasteful number, since it uses less digits than its factorization.

131000330011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37775 (or 37767 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131000330011040 its reverse (40110033000131), we get a palindrome (171110363011171).

The spelling of 131000330011040 in words is "one hundred thirty-one trillion, three hundred thirty million, eleven thousand, forty".