21325131313033 has 2 divisors, whose sum is σ = 21325131313034. Its totient is φ = 21325131313032.

The previous prime is 21325131313019. The next prime is 21325131313037. The reversal of 21325131313033 is 33031313152312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18624722715769 + 2700408597264 = 4315637^2 + 1643292^2 .

It is a cyclic number.

It is not a de Polignac number, because 21325131313033 - 2²¹ = 21325129215881 is a prime.

It is a super-2 number, since 2×21325131313033² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21325131312986 and 21325131313004.

It is not a weakly prime, because it can be changed into another prime (21325131313037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10662565656516 + 10662565656517.

It is an arithmetic number, because the mean of its divisors is an integer number (10662565656517).

Almost surely, 2^{21325131313033} is an apocalyptic number.

It is an amenable number.

21325131313033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21325131313033 is an equidigital number, since it uses as much as digits as its factorization.

21325131313033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 31.

Adding to 21325131313033 its reverse (33031313152312), we get a palindrome (54356444465345).

The spelling of 21325131313033 in words is "twenty-one trillion, three hundred twenty-five billion, one hundred thirty-one million, three hundred thirteen thousand, thirty-three".