133444313113120 has 48 divisors (see below), whose sum is σ = 315263375802648. Its totient is φ = 53377524428800.

The previous prime is 133444313113073. The next prime is 133444313113171. The reversal of 133444313113120 is 21311313444331.

It can be written as a sum of positive squares in 4 ways, for example, as 114202650126096 + 19241662987024 = 10686564^2 + 4386532^2 .

It is a super-2 number, since 2×133444313113120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45489882 + ... + 48334438.

Almost surely, 2^{133444313113120} is an apocalyptic number.

133444313113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133444313113120 is an abundant number, since it is smaller than the sum of its proper divisors (181819062689528).

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

133444313113120 is a wasteful number, since it uses less digits than its factorization.

133444313113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137773 (or 3137765 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 133444313113120 its reverse (21311313444331), we get a palindrome (154755626557451).

The spelling of 133444313113120 in words is "one hundred thirty-three trillion, four hundred forty-four billion, three hundred thirteen million, one hundred thirteen thousand, one hundred twenty".