31120301101121 has 2 divisors, whose sum is σ = 31120301101122. Its totient is φ = 31120301101120.

The previous prime is 31120301101033. The next prime is 31120301101139. The reversal of 31120301101121 is 12110110302113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18905660548096 + 12214640553025 = 4348064^2 + 3494945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31120301101121 is a prime.

It is a super-3 number, since 3×31120301101121³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31120301101121.

It is not a weakly prime, because it can be changed into another prime (31120301101151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15560150550560 + 15560150550561.

It is an arithmetic number, because the mean of its divisors is an integer number (15560150550561).

Almost surely, 2^{31120301101121} is an apocalyptic number.

It is an amenable number.

31120301101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

31120301101121 is an equidigital number, since it uses as much as digits as its factorization.

31120301101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 31120301101121 its reverse (12110110302113), we get a palindrome (43230411403234).

The spelling of 31120301101121 in words is "thirty-one trillion, one hundred twenty billion, three hundred one million, one hundred one thousand, one hundred twenty-one".