131011204031040 has 224 divisors, whose sum is σ = 417859659657216. Its totient is φ = 34776843171840.

The previous prime is 131011204031027. The next prime is 131011204031063. The reversal of 131011204031040 is 40130402110131.

It is a junction number, because it is equal to n+sod(n) for n = 131011204030998 and 131011204031016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5155675935 + ... + 5155701345.

It is an arithmetic number, because the mean of its divisors is an integer number (1865444909184).

Almost surely, 2^{131011204031040} is an apocalyptic number.

131011204031040 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 131011204031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208929829828608).

131011204031040 is an abundant number, since it is smaller than the sum of its proper divisors (286848455626176).

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

131011204031040 is a wasteful number, since it uses less digits than its factorization.

131011204031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49737 (or 49727 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131011204031040 its reverse (40130402110131), we get a palindrome (171141606141171).

The spelling of 131011204031040 in words is "one hundred thirty-one trillion, eleven billion, two hundred four million, thirty-one thousand, forty".