13431096000 has 1176 divisors, whose sum is σ = 59246755776. Its totient is φ = 3004646400.

The previous prime is 13431095981. The next prime is 13431096001. The reversal of 13431096000 is 69013431.

13431096000 is a `hidden beast` number, since 1 + 3 + 43 + 10 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×13431096000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13431096001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 285767977 + ... + 285768023.

Almost surely, 2^13431096000 is an apocalyptic number.

13431096000 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 13431096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29623377888).

13431096000 is an abundant number, since it is smaller than the sum of its proper divisors (45815659776).

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

13431096000 is an frugal number, since it uses more digits than its factorization.

13431096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 13431096000 in words is "thirteen billion, four hundred thirty-one million, ninety-six thousand".