133123121132131 has 32 divisors (see below), whose sum is σ = 145613492640000. Its totient is φ = 120966603276288.

The previous prime is 133123121132017. The next prime is 133123121132203. The reversal of 133123121132131 is 131231121321331.

It is a cyclic number.

It is not a de Polignac number, because 133123121132131 - 2¹⁹ = 133123120607843 is a prime.

It is a super-2 number, since 2×133123121132131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133123121132131.

It is not an unprimeable number, because it can be changed into a prime (133123121132731) 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, 1285503651 + ... + 1285607203.

It is an arithmetic number, because the mean of its divisors is an integer number (4550421645000).

Almost surely, 2^{133123121132131} is an apocalyptic number.

133123121132131 is a deficient number, since it is larger than the sum of its proper divisors (12490371507869).

133123121132131 is a wasteful number, since it uses less digits than its factorization.

133123121132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108543.

The product of its digits is 1944, while the sum is 28.

Adding to 133123121132131 its reverse (131231121321331), we get a palindrome (264354242453462).

The spelling of 133123121132131 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred thirty-one".