31231131133313 has 2 divisors, whose sum is σ = 31231131133314. Its totient is φ = 31231131133312.

The previous prime is 31231131133303. The next prime is 31231131133327. The reversal of 31231131133313 is 31333113113213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29924094565264 + 1307036568049 = 5470292^2 + 1143257^2 .

It is an emirp because it is prime and its reverse (31333113113213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31231131133313 - 2¹⁸ = 31231130871169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (31231131133303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15615565566656 + 15615565566657.

It is an arithmetic number, because the mean of its divisors is an integer number (15615565566657).

Almost surely, 2^{31231131133313} is an apocalyptic number.

It is an amenable number.

31231131133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31231131133313 is an equidigital number, since it uses as much as digits as its factorization.

31231131133313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4374, while the sum is 29.

Adding to 31231131133313 its reverse (31333113113213), we get a palindrome (62564244246526).

The spelling of 31231131133313 in words is "thirty-one trillion, two hundred thirty-one billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred thirteen".