32131311300133 has 2 divisors, whose sum is σ = 32131311300134. Its totient is φ = 32131311300132.

The previous prime is 32131311300091. The next prime is 32131311300157. The reversal of 32131311300133 is 33100311313123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27297719977284 + 4833591322849 = 5224722^2 + 2198543^2 .

It is an emirp because it is prime and its reverse (33100311313123) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-32131311300133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32131311300098 and 32131311300107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32131311370133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16065655650066 + 16065655650067.

It is an arithmetic number, because the mean of its divisors is an integer number (16065655650067).

Almost surely, 2^{32131311300133} is an apocalyptic number.

It is an amenable number.

32131311300133 is a deficient number, since it is larger than the sum of its proper divisors (1).

32131311300133 is an equidigital number, since it uses as much as digits as its factorization.

32131311300133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 32131311300133 its reverse (33100311313123), we get a palindrome (65231622613256).

The spelling of 32131311300133 in words is "thirty-two trillion, one hundred thirty-one billion, three hundred eleven million, three hundred thousand, one hundred thirty-three".