131610141000 has 384 divisors, whose sum is σ = 507248632800. Its totient is φ = 30490214400.

The previous prime is 131610140957. The next prime is 131610141011. The reversal of 131610141000 is 141016131.

131610141000 is a `hidden beast` number, since 1 + 31 + 610 + 14 + 10 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 9161935524 + 122448205476 = 95718^2 + 349926^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1955916 + ... + 2022084.

Almost surely, 2^131610141000 is an apocalyptic number.

131610141000 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 131610141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253624316400).

131610141000 is an abundant number, since it is smaller than the sum of its proper divisors (375638491800).

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

131610141000 is a wasteful number, since it uses less digits than its factorization.

131610141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66226 (or 66209 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131610141000 its reverse (141016131), we get a palindrome (131751157131).

The spelling of 131610141000 in words is "one hundred thirty-one billion, six hundred ten million, one hundred forty-one thousand".