331013332311133 has 2 divisors, whose sum is σ = 331013332311134. Its totient is φ = 331013332311132.

The previous prime is 331013332311073. The next prime is 331013332311199. The reversal of 331013332311133 is 331113233310133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310457246321209 + 20556085989924 = 17619797^2 + 4533882^2 .

It is an emirp because it is prime and its reverse (331113233310133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331013332311133 - 2⁴¹ = 328814309055581 is a prime.

It is a super-2 number, since 2×331013332311133² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331013332311095 and 331013332311104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331013332311533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165506666155566 + 165506666155567.

It is an arithmetic number, because the mean of its divisors is an integer number (165506666155567).

Almost surely, 2^{331013332311133} is an apocalyptic number.

It is an amenable number.

331013332311133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331013332311133 is an equidigital number, since it uses as much as digits as its factorization.

331013332311133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13122, while the sum is 31.

Adding to 331013332311133 its reverse (331113233310133), we get a palindrome (662126565621266).

The spelling of 331013332311133 in words is "three hundred thirty-one trillion, thirteen billion, three hundred thirty-two million, three hundred eleven thousand, one hundred thirty-three".