132133132031 has 2 divisors, whose sum is σ = 132133132032. Its totient is φ = 132133132030.

The previous prime is 132133131959. The next prime is 132133132067. The reversal of 132133132031 is 130231331231.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 132133132031 - 2¹⁰ = 132133131007 is a prime.

It is a super-2 number, since 2×132133132031² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 132133131988 and 132133132006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132133132531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66066566015 + 66066566016.

It is an arithmetic number, because the mean of its divisors is an integer number (66066566016).

Almost surely, 2^132133132031 is an apocalyptic number.

132133132031 is a deficient number, since it is larger than the sum of its proper divisors (1).

132133132031 is an equidigital number, since it uses as much as digits as its factorization.

132133132031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 132133132031 its reverse (130231331231), we get a palindrome (262364463262).

The spelling of 132133132031 in words is "one hundred thirty-two billion, one hundred thirty-three million, one hundred thirty-two thousand, thirty-one".