133123100131120 has 40 divisors (see below), whose sum is σ = 337648590334800. Its totient is φ = 48408400047360.

The previous prime is 133123100131079. The next prime is 133123100131159. The reversal of 133123100131120 is 21131001321331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×133123100131120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 133123100131091 and 133123100131100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75638124195 + ... + 75638125954.

It is an arithmetic number, because the mean of its divisors is an integer number (8441214758370).

Almost surely, 2^{133123100131120} is an apocalyptic number.

133123100131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133123100131120 is an abundant number, since it is smaller than the sum of its proper divisors (204525490203680).

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

133123100131120 is a wasteful number, since it uses less digits than its factorization.

133123100131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151276250173 (or 151276250167 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 133123100131120 its reverse (21131001321331), we get a palindrome (154254101452451).

The spelling of 133123100131120 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, one hundred million, one hundred thirty-one thousand, one hundred twenty".