13148211600 has 300 divisors, whose sum is σ = 47397996096. Its totient is φ = 3490594560.

The previous prime is 13148211541. The next prime is 13148211653. The reversal of 13148211600 is 611284131.

It is a happy number.

13148211600 is a `hidden beast` number, since 1 + 3 + 1 + 48 + 2 + 11 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8520429 + ... + 8521971.

Almost surely, 2^13148211600 is an apocalyptic number.

13148211600 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 13148211600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23698998048).

13148211600 is an abundant number, since it is smaller than the sum of its proper divisors (34249784496).

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

13148211600 is a wasteful number, since it uses less digits than its factorization.

13148211600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 13148211600 its reverse (611284131), we get a palindrome (13759495731).

The spelling of 13148211600 in words is "thirteen billion, one hundred forty-eight million, two hundred eleven thousand, six hundred".