133413531300 has 288 divisors, whose sum is σ = 505985392640. Its totient is φ = 29510697600.

The previous prime is 133413531289. The next prime is 133413531301. The reversal of 133413531300 is 3135314331.

133413531300 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 1 + 353 + 1 + 300 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133413531301) 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, 472047 + ... + 699753.

Almost surely, 2^133413531300 is an apocalyptic number.

133413531300 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 133413531300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252992696320).

133413531300 is an abundant number, since it is smaller than the sum of its proper divisors (372571861340).

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

133413531300 is a wasteful number, since it uses less digits than its factorization.

133413531300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227768 (or 227755 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 133413531300 its reverse (3135314331), we get a palindrome (136548845631).

The spelling of 133413531300 in words is "one hundred thirty-three billion, four hundred thirteen million, five hundred thirty-one thousand, three hundred".