31111013301001 has 2 divisors, whose sum is σ = 31111013301002. Its totient is φ = 31111013301000.

The previous prime is 31111013300953. The next prime is 31111013301007. The reversal of 31111013301001 is 10010331011113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29467038006025 + 1643975294976 = 5428355^2 + 1282176^2 .

It is a cyclic number.

It is not a de Polignac number, because 31111013301001 - 2⁹ = 31111013300489 is a prime.

It is a super-2 number, since 2×31111013301001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31111013301007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15555506650500 + 15555506650501.

It is an arithmetic number, because the mean of its divisors is an integer number (15555506650501).

Almost surely, 2^{31111013301001} is an apocalyptic number.

It is an amenable number.

31111013301001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31111013301001 is an equidigital number, since it uses as much as digits as its factorization.

31111013301001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 31111013301001 its reverse (10010331011113), we get a palindrome (41121344312114).

The spelling of 31111013301001 in words is "thirty-one trillion, one hundred eleven billion, thirteen million, three hundred one thousand, one".