13431544500 has 288 divisors, whose sum is σ = 44016964992. Its totient is φ = 3178560000.

The previous prime is 13431544481. The next prime is 13431544519. The reversal of 13431544500 is 544513431.

It is an interprime number because it is at equal distance from previous prime (13431544481) and next prime (13431544519).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7803640 + ... + 7805360.

It is an arithmetic number, because the mean of its divisors is an integer number (152836684).

Almost surely, 2^13431544500 is an apocalyptic number.

13431544500 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 13431544500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22008482496).

13431544500 is an abundant number, since it is smaller than the sum of its proper divisors (30585420492).

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

13431544500 is a wasteful number, since it uses less digits than its factorization.

13431544500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 13431544500 in words is "thirteen billion, four hundred thirty-one million, five hundred forty-four thousand, five hundred".