133521125331 has 128 divisors (see below), whose sum is σ = 225043660800. Its totient is φ = 69340354560.

The previous prime is 133521125323. The next prime is 133521125347.

133521125331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133521125331 - 2³ = 133521125323 is a prime.

It is a super-2 number, since 2×133521125331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133521126331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32731750 + ... + 32735828.

It is an arithmetic number, because the mean of its divisors is an integer number (1758153600).

Almost surely, 2^133521125331 is an apocalyptic number.

133521125331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133521125331 is a deficient number, since it is larger than the sum of its proper divisors (91522535469).

133521125331 is a wasteful number, since it uses less digits than its factorization.

133521125331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249.

The product of its digits is 8100, while the sum is 30.

It can be divided in two parts, 133521 and 125331, that added together give a palindrome (258852).

The spelling of 133521125331 in words is "one hundred thirty-three billion, five hundred twenty-one million, one hundred twenty-five thousand, three hundred thirty-one".