133042013401110 has 256 divisors, whose sum is σ = 352922058298368. Its totient is φ = 32095270056960.

The previous prime is 133042013401093. The next prime is 133042013401111. The reversal of 133042013401110 is 11104310240331.

It is a happy number.

It is a super-2 number, since 2×133042013401110² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133042013401111) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 21928794297 + ... + 21928800363.

It is an arithmetic number, because the mean of its divisors is an integer number (1378601790228).

Almost surely, 2^{133042013401110} is an apocalyptic number.

133042013401110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133042013401110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176461029149184).

133042013401110 is an abundant number, since it is smaller than the sum of its proper divisors (219880044897258).

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

133042013401110 is a wasteful number, since it uses less digits than its factorization.

133042013401110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8700 (or 8678 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 133042013401110 its reverse (11104310240331), we get a palindrome (144146323641441).

The spelling of 133042013401110 in words is "one hundred thirty-three trillion, forty-two billion, thirteen million, four hundred one thousand, one hundred ten".