133402331351016 has 576 divisors, whose sum is σ = 476524353614400. Its totient is φ = 33325175955456.

The previous prime is 133402331350969. The next prime is 133402331351017. The reversal of 133402331351016 is 610153133204331.

It is a happy number.

133402331351016 is a `hidden beast` number, since 1 + 33 + 40 + 233 + 1 + 351 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133402331351017) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6442368135 + ... + 6442388841.

It is an arithmetic number, because the mean of its divisors is an integer number (827299225025).

Almost surely, 2^{133402331351016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133402331351016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238262176807200).

133402331351016 is an abundant number, since it is smaller than the sum of its proper divisors (343122022263384).

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

133402331351016 is a wasteful number, since it uses less digits than its factorization.

133402331351016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28158 (or 28144 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 133402331351016 its reverse (610153133204331), we get a palindrome (743555464555347).

The spelling of 133402331351016 in words is "one hundred thirty-three trillion, four hundred two billion, three hundred thirty-one million, three hundred fifty-one thousand, sixteen".