131017200 has 240 divisors, whose sum is σ = 451685376. Its totient is φ = 32384000.

The previous prime is 131017199. The next prime is 131017241. The reversal of 131017200 is 2710131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131017200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1297150 + ... + 1297250.

Almost surely, 2^131017200 is an apocalyptic number.

131017200 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 131017200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225842688).

131017200 is an abundant number, since it is smaller than the sum of its proper divisors (320668176).

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

131017200 is a wasteful number, since it uses less digits than its factorization.

131017200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 131017200 is about 11446.2745030861. The cubic root of 131017200 is about 507.8975344621.

Adding to 131017200 its reverse (2710131), we get a palindrome (133727331).

It can be divided in two parts, 13101 and 7200, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 131017200 in words is "one hundred thirty-one million, seventeen thousand, two hundred".