13133200400 has 180 divisors, whose sum is σ = 33873820032. Its totient is φ = 4891822080.

The previous prime is 13133200373. The next prime is 13133200427. The reversal of 13133200400 is 400233131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13133200373) and next prime (13133200427).

It is a super-4 number, since 4×13133200400⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11906249 + ... + 11907351.

Almost surely, 2^13133200400 is an apocalyptic number.

13133200400 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 13133200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936910016).

13133200400 is an abundant number, since it is smaller than the sum of its proper divisors (20740619632).

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

13133200400 is a wasteful number, since it uses less digits than its factorization.

13133200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13133200400 its reverse (400233131), we get a palindrome (13533433531).

The spelling of 13133200400 in words is "thirteen billion, one hundred thirty-three million, two hundred thousand, four hundred".