131310000 has 150 divisors (see below), whose sum is σ = 459524780. Its totient is φ = 34992000.

The previous prime is 131309993. The next prime is 131310043. The reversal of 131310000 is 13131.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×131310000² = 34484632200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89271 + ... + 90729.

Almost surely, 2^131310000 is an apocalyptic number.

131310000 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 131310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229762390).

131310000 is an abundant number, since it is smaller than the sum of its proper divisors (328214780).

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

131310000 is a wasteful number, since it uses less digits than its factorization.

131310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 131310000 is about 11459.0575528706. The cubic root of 131310000 is about 508.2756063325.

Adding to 131310000 its reverse (13131), we get a palindrome (131323131).

Multiplying 131310000 by its reverse (13131), we get a square (1724231610000 = 1313100²).

131310000 divided by its reverse (13131) gives a 4-th power (10000 = 10⁴).

The spelling of 131310000 in words is "one hundred thirty-one million, three hundred ten thousand".