131016400 has 60 divisors (see below), whose sum is σ = 331352800. Its totient is φ = 49645440.

The previous prime is 131016397. The next prime is 131016407. The reversal of 131016400 is 4610131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131016407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1020 + ... + 16219.

Almost surely, 2^131016400 is an apocalyptic number.

131016400 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 131016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165676400).

131016400 is an abundant number, since it is smaller than the sum of its proper divisors (200336400).

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

131016400 is a wasteful number, since it uses less digits than its factorization.

131016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17276 (or 17265 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131016400 is about 11446.2395571646. The cubic root of 131016400 is about 507.8965007077.

Adding to 131016400 its reverse (4610131), we get a palindrome (135626531).

The spelling of 131016400 in words is "one hundred thirty-one million, sixteen thousand, four hundred".