13014314100 has 216 divisors, whose sum is σ = 43855943040. Its totient is φ = 3217674240.

The previous prime is 13014314099. The next prime is 13014314123. The reversal of 13014314100 is 141341031.

13014314100 is a `hidden beast` number, since 130 + 1 + 431 + 4 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795604 + ... + 811796.

Almost surely, 2^13014314100 is an apocalyptic number.

13014314100 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 13014314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21927971520).

13014314100 is an abundant number, since it is smaller than the sum of its proper divisors (30841628940).

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

13014314100 is a wasteful number, since it uses less digits than its factorization.

13014314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16279 (or 16269 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13014314100 its reverse (141341031), we get a palindrome (13155655131).

The spelling of 13014314100 in words is "thirteen billion, fourteen million, three hundred fourteen thousand, one hundred".