31031002201081 has 2 divisors, whose sum is σ = 31031002201082. Its totient is φ = 31031002201080.

The previous prime is 31031002201079. The next prime is 31031002201127. The reversal of 31031002201081 is 18010220013013.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25984761125625 + 5046241075456 = 5097525^2 + 2246384^2 .

It is a cyclic number.

It is not a de Polignac number, because 31031002201081 - 2¹ = 31031002201079 is a prime.

It is a super-2 number, since 2×31031002201081² (a number of 28 digits) contains 22 as substring.

Together with 31031002201079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31031002201481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15515501100540 + 15515501100541.

It is an arithmetic number, because the mean of its divisors is an integer number (15515501100541).

Almost surely, 2^{31031002201081} is an apocalyptic number.

It is an amenable number.

31031002201081 is a deficient number, since it is larger than the sum of its proper divisors (1).

31031002201081 is an equidigital number, since it uses as much as digits as its factorization.

31031002201081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 31031002201081 its reverse (18010220013013), we get a palindrome (49041222214094).

The spelling of 31031002201081 in words is "thirty-one trillion, thirty-one billion, two million, two hundred one thousand, eighty-one".