131001000 has 128 divisors (see below), whose sum is σ = 440294400. Its totient is φ = 32236800.

The previous prime is 131000951. The next prime is 131001011. The reversal of 131001000 is 100131.

It is a super-2 number, since 2×131001000² = 34322524002000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131001000.

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, 37321 + ... + 40679.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^131001000 is an apocalyptic number.

131001000 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 131001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

131001000 is an abundant number, since it is smaller than the sum of its proper divisors (309293400).

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

131001000 is a wasteful number, since it uses less digits than its factorization.

131001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 131001000 is about 11445.5668273791. The cubic root of 131001000 is about 507.8766001136.

Adding to 131001000 its reverse (100131), we get a palindrome (131101131).

The spelling of 131001000 in words is "one hundred thirty-one million, one thousand".