42133252101135 has 32 divisors (see below), whose sum is σ = 72638658828288. Its totient is φ = 20731145700480.

The previous prime is 42133252101113. The next prime is 42133252101137. The reversal of 42133252101135 is 53110125233124.

It is a happy number.

It is not a de Polignac number, because 42133252101135 - 2⁶ = 42133252101071 is a prime.

It is a super-3 number, since 3×42133252101135³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42133252101096 and 42133252101105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133252101137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58906161 + ... + 59617130.

It is an arithmetic number, because the mean of its divisors is an integer number (2269958088384).

Almost surely, 2^{42133252101135} is an apocalyptic number.

42133252101135 is a deficient number, since it is larger than the sum of its proper divisors (30505406727153).

42133252101135 is a wasteful number, since it uses less digits than its factorization.

42133252101135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118525135.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 42133252101135 its reverse (53110125233124), we get a palindrome (95243377334259).

The spelling of 42133252101135 in words is "forty-two trillion, one hundred thirty-three billion, two hundred fifty-two million, one hundred one thousand, one hundred thirty-five".