14012513100 has 216 divisors, whose sum is σ = 46144879872. Its totient is φ = 3549744000.

The previous prime is 14012513093. The next prime is 14012513101. The reversal of 14012513100 is 131521041.

14012513100 is a `hidden beast` number, since 1 + 40 + 12 + 513 + 100 = 666.

It is a super-2 number, since 2×14012513100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14012513101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3123459 + ... + 3127941.

Almost surely, 2^14012513100 is an apocalyptic number.

14012513100 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 14012513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23072439936).

14012513100 is an abundant number, since it is smaller than the sum of its proper divisors (32132366772).

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

14012513100 is a wasteful number, since it uses less digits than its factorization.

14012513100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 14012513100 in words is "fourteen billion, twelve million, five hundred thirteen thousand, one hundred".