13102214400 has 864 divisors, whose sum is σ = 53742810240. Its totient is φ = 3096576000.

The previous prime is 13102214369. The next prime is 13102214407. The reversal of 13102214400 is 441220131.

13102214400 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 221 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102214407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115948744 + ... + 115948856.

Almost surely, 2^13102214400 is an apocalyptic number.

13102214400 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 13102214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26871405120).

13102214400 is an abundant number, since it is smaller than the sum of its proper divisors (40640595840).

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

13102214400 is a wasteful number, since it uses less digits than its factorization.

13102214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13102214400 its reverse (441220131), we get a palindrome (13543434531).

The spelling of 13102214400 in words is "thirteen billion, one hundred two million, two hundred fourteen thousand, four hundred".