14513131000 has 128 divisors (see below), whose sum is σ = 36182764800. Its totient is φ = 5432860800.

The previous prime is 14513130977. The next prime is 14513131109. The reversal of 14513131000 is 13131541.

14513131000 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 2×14513131000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1572399 + ... + 1581601.

It is an arithmetic number, because the mean of its divisors is an integer number (282677850).

Almost surely, 2^14513131000 is an apocalyptic number.

14513131000 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 14513131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18091382400).

14513131000 is an abundant number, since it is smaller than the sum of its proper divisors (21669633800).

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

14513131000 is a wasteful number, since it uses less digits than its factorization.

14513131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9326 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 14513131000 its reverse (13131541), we get a palindrome (14526262541).

The spelling of 14513131000 in words is "fourteen billion, five hundred thirteen million, one hundred thirty-one thousand".