13431000 has 192 divisors, whose sum is σ = 47305440. Its totient is φ = 3168000.

The previous prime is 13430993. The next prime is 13431017. The reversal of 13431000 is 13431.

13431000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13431000² = 360783522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 362982 + ... + 363018.

Almost surely, 2^13431000 is an apocalyptic number.

13431000 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 13431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23652720).

13431000 is an abundant number, since it is smaller than the sum of its proper divisors (33874440).

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

13431000 is a wasteful number, since it uses less digits than its factorization.

13431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13431000 is about 3664.8328747707. The cubic root of 13431000 is about 237.7037955282.

Adding to 13431000 its reverse (13431), we get a palindrome (13444431).

Subtracting from 13431000 its reverse (13431), we obtain a square (13417569 = 3663²).

13431000 divided by its reverse (13431) gives a cube (1000 = 10³).

The spelling of 13431000 in words is "thirteen million, four hundred thirty-one thousand".