133001445150431 has 96 divisors (see below), whose sum is σ = 171147947120640. Its totient is φ = 102277533600000.

The previous prime is 133001445150359. The next prime is 133001445150479. The reversal of 133001445150431 is 134051544100331.

It is a happy number.

It is not a de Polignac number, because 133001445150431 - 2⁴⁶ = 62632700972767 is a prime.

It is a super-2 number, since 2×133001445150431² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133001445150391 and 133001445150400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133001445150031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2085512861 + ... + 2085576633.

It is an arithmetic number, because the mean of its divisors is an integer number (1782791115840).

Almost surely, 2^{133001445150431} is an apocalyptic number.

133001445150431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133001445150431 is a deficient number, since it is larger than the sum of its proper divisors (38146501970209).

133001445150431 is a wasteful number, since it uses less digits than its factorization.

133001445150431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66109 (or 66098 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 133001445150431 its reverse (134051544100331), we get a palindrome (267052989250762).

The spelling of 133001445150431 in words is "one hundred thirty-three trillion, one billion, four hundred forty-five million, one hundred fifty thousand, four hundred thirty-one".