133780491946101 has 768 divisors, whose sum is σ = 265293822689280. Its totient is φ = 59252737420800.

The previous prime is 133780491946081. The next prime is 133780491946109. The reversal of 133780491946101 is 101649194087331.

It is a happy number.

133780491946101 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 133780491946101 - 2⁶ = 133780491946037 is a prime.

It is a super-4 number, since 4×133780491946101⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133780491946109) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 435767074590 + ... + 435767074896.

It is an arithmetic number, because the mean of its divisors is an integer number (345434664960).

Almost surely, 2^{133780491946101} is an apocalyptic number.

133780491946101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133780491946101 is a deficient number, since it is larger than the sum of its proper divisors (131513330743179).

133780491946101 is a wasteful number, since it uses less digits than its factorization.

133780491946101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 133780491946101 in words is "one hundred thirty-three trillion, seven hundred eighty billion, four hundred ninety-one million, nine hundred forty-six thousand, one hundred one".