131201000 has 64 divisors (see below), whose sum is σ = 350887680. Its totient is φ = 44980800.

The previous prime is 131200997. The next prime is 131201009. The reversal of 131201000 is 102131.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (131201009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2372 + ... + 16371.

It is an arithmetic number, because the mean of its divisors is an integer number (5482620).

Almost surely, 2^131201000 is an apocalyptic number.

131201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201000 is an abundant number, since it is smaller than the sum of its proper divisors (219686680).

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

131201000 is a wasteful number, since it uses less digits than its factorization.

131201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18771 (or 18757 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 131201000 is about 11454.3005024314. The cubic root of 131201000 is about 508.1349280956.

Adding to 131201000 its reverse (102131), we get a palindrome (131303131).

The spelling of 131201000 in words is "one hundred thirty-one million, two hundred one thousand".