133101315422400 has 672 divisors, whose sum is σ = 481529558135808. Its totient is φ = 31988223590400.

The previous prime is 133101315422393. The next prime is 133101315422401. The reversal of 133101315422400 is 4224513101331.

133101315422400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (133101315422401) 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, 456185362 + ... + 456477038.

It is an arithmetic number, because the mean of its divisors is an integer number (716561842464).

Almost surely, 2^{133101315422400} is an apocalyptic number.

133101315422400 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 133101315422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240764779067904).

133101315422400 is an abundant number, since it is smaller than the sum of its proper divisors (348428242713408).

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

133101315422400 is a wasteful number, since it uses less digits than its factorization.

133101315422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291889 (or 291874 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 133101315422400 its reverse (4224513101331), we get a palindrome (137325828523731).

The spelling of 133101315422400 in words is "one hundred thirty-three trillion, one hundred one billion, three hundred fifteen million, four hundred twenty-two thousand, four hundred".