133313221344030 has 256 divisors, whose sum is σ = 394164022210560. Its totient is φ = 28100691320832.

The previous prime is 133313221343999. The next prime is 133313221344071. The reversal of 133313221344030 is 30443122313331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133313221343982 and 133313221344000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17451654951 + ... + 17451662589.

It is an arithmetic number, because the mean of its divisors is an integer number (1539703211760).

Almost surely, 2^{133313221344030} is an apocalyptic number.

133313221344030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133313221344030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197082011105280).

133313221344030 is an abundant number, since it is smaller than the sum of its proper divisors (260850800866530).

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

133313221344030 is a wasteful number, since it uses less digits than its factorization.

133313221344030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12955.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 133313221344030 its reverse (30443122313331), we get a palindrome (163756343657361).

The spelling of 133313221344030 in words is "one hundred thirty-three trillion, three hundred thirteen billion, two hundred twenty-one million, three hundred forty-four thousand, thirty".