131000400 has 90 divisors (see below), whose sum is σ = 454620270. Its totient is φ = 34932480.

The previous prime is 131000399. The next prime is 131000423. The reversal of 131000400 is 4000131.

It can be written as a sum of positive squares in 3 ways, for example, as 36288576 + 94711824 = 6024^2 + 9732^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×131000400² = 34322209600320000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14595 + ... + 21794.

Almost surely, 2^131000400 is an apocalyptic number.

131000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000400 is an abundant number, since it is smaller than the sum of its proper divisors (323619870).

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

131000400 is a wasteful number, since it uses less digits than its factorization.

131000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36413 (or 36399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131000400 is about 11445.5406163274. The cubic root of 131000400 is about 507.8758247342.

Adding to 131000400 its reverse (4000131), we get a palindrome (135000531).

The spelling of 131000400 in words is "one hundred thirty-one million, four hundred", and thus it is an aban number.