20131031301233 has 2 divisors, whose sum is σ = 20131031301234. Its totient is φ = 20131031301232.

The previous prime is 20131031301209. The next prime is 20131031301253. The reversal of 20131031301233 is 33210313013102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17276259486784 + 2854771814449 = 4156472^2 + 1689607^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131031301233 - 2²⁸ = 20130762865777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20131031301199 and 20131031301208.

It is not a weakly prime, because it can be changed into another prime (20131031301203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065515650616 + 10065515650617.

It is an arithmetic number, because the mean of its divisors is an integer number (10065515650617).

Almost surely, 2^{20131031301233} is an apocalyptic number.

It is an amenable number.

20131031301233 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131031301233 is an equidigital number, since it uses as much as digits as its factorization.

20131031301233 is an evil number, because the sum of its binary digits is even.

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

Adding to 20131031301233 its reverse (33210313013102), we get a palindrome (53341344314335).

The spelling of 20131031301233 in words is "twenty trillion, one hundred thirty-one billion, thirty-one million, three hundred one thousand, two hundred thirty-three".