131017096631040 has 576 divisors, whose sum is σ = 457467371827200. Its totient is φ = 31813242716160.

The previous prime is 131017096630957. The next prime is 131017096631101. The reversal of 131017096631040 is 40136690710131.

It is a junction number, because it is equal to n+sod(n) for n = 131017096630983 and 131017096631001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10318737972 + ... + 10318750668.

It is an arithmetic number, because the mean of its divisors is an integer number (794214187200).

Almost surely, 2^{131017096631040} is an apocalyptic number.

131017096631040 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 131017096631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228733685913600).

131017096631040 is an abundant number, since it is smaller than the sum of its proper divisors (326450275196160).

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

131017096631040 is a wasteful number, since it uses less digits than its factorization.

131017096631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17868 (or 17854 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 131017096631040 in words is "one hundred thirty-one trillion, seventeen billion, ninety-six million, six hundred thirty-one thousand, forty".