133413010332 has 192 divisors, whose sum is σ = 374606991360. Its totient is φ = 36163252224.

The previous prime is 133413010331. The next prime is 133413010333. The reversal of 133413010332 is 233010314331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133413010331) and next prime (133413010333).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133413010331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20189373 + ... + 20195979.

It is an arithmetic number, because the mean of its divisors is an integer number (1951078080).

Almost surely, 2^133413010332 is an apocalyptic number.

133413010332 is a gapful number since it is divisible by the number (12) 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 133413010332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187303495680).

133413010332 is an abundant number, since it is smaller than the sum of its proper divisors (241193981028).

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

133413010332 is a wasteful number, since it uses less digits than its factorization.

133413010332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133413010332 its reverse (233010314331), we get a palindrome (366423324663).

The spelling of 133413010332 in words is "one hundred thirty-three billion, four hundred thirteen million, ten thousand, three hundred thirty-two".