131132001000 has 768 divisors, whose sum is σ = 552506572800. Its totient is φ = 25144704000.

The previous prime is 131132000999. The next prime is 131132001037. The reversal of 131132001000 is 100231131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39037321 + ... + 39040679.

It is an arithmetic number, because the mean of its divisors is an integer number (719409600).

Almost surely, 2^131132001000 is an apocalyptic number.

131132001000 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 131132001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276253286400).

131132001000 is an abundant number, since it is smaller than the sum of its proper divisors (421374571800).

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

131132001000 is a wasteful number, since it uses less digits than its factorization.

131132001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131132001000 its reverse (100231131), we get a palindrome (131232232131).

The spelling of 131132001000 in words is "one hundred thirty-one billion, one hundred thirty-two million, one thousand".