131401000 has 64 divisors (see below), whose sum is σ = 310761360. Its totient is φ = 52000000.

The previous prime is 131400989. The next prime is 131401013. The reversal of 131401000 is 104131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1304164 + 130096836 = 1142^2 + 11406^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100350 + ... + 101650.

Almost surely, 2^131401000 is an apocalyptic number.

131401000 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 131401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155380680).

131401000 is an abundant number, since it is smaller than the sum of its proper divisors (179360360).

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

131401000 is a wasteful number, since it uses less digits than its factorization.

131401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 131401000 is about 11463.0275233029. The cubic root of 131401000 is about 508.3929936845.

Adding to 131401000 its reverse (104131), we get a palindrome (131505131).

The spelling of 131401000 in words is "one hundred thirty-one million, four hundred one thousand".