133101013320 has 256 divisors, whose sum is σ = 486715392000. Its totient is φ = 32086137600.

The previous prime is 133101013301. The next prime is 133101013337. The reversal of 133101013320 is 23310101331.

It is a happy number.

133101013320 is a `hidden beast` number, since 1 + 331 + 0 + 1 + 0 + 1 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133101013293 and 133101013302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2095225 + ... + 2157815.

It is an arithmetic number, because the mean of its divisors is an integer number (1901232000).

Almost surely, 2^133101013320 is an apocalyptic number.

133101013320 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 133101013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243357696000).

133101013320 is an abundant number, since it is smaller than the sum of its proper divisors (353614378680).

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

133101013320 is a wasteful number, since it uses less digits than its factorization.

133101013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62801 (or 62791 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133101013320 its reverse (23310101331), we get a palindrome (156411114651).

The spelling of 133101013320 in words is "one hundred thirty-three billion, one hundred one million, thirteen thousand, three hundred twenty".