131049000 has 96 divisors (see below), whose sum is σ = 442976040. Its totient is φ = 34944000.

The previous prime is 131048989. The next prime is 131049011. The reversal of 131049000 is 940131.

It is an interprime number because it is at equal distance from previous prime (131048989) and next prime (131049011).

It can be written as a sum of positive squares in 4 ways, for example, as 67272804 + 63776196 = 8202^2 + 7986^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1720 + ... + 16280.

Almost surely, 2^131049000 is an apocalyptic number.

131049000 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 131049000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221488020).

131049000 is an abundant number, since it is smaller than the sum of its proper divisors (311927040).

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

131049000 is a wasteful number, since it uses less digits than its factorization.

131049000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14588 (or 14571 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131049000 is about 11447.6635170676. The cubic root of 131049000 is about 507.9386227952.

Adding to 131049000 its reverse (940131), we get a palindrome (131989131).

The spelling of 131049000 in words is "one hundred thirty-one million, forty-nine thousand".