31321133003081 has 2 divisors, whose sum is σ = 31321133003082. Its totient is φ = 31321133003080.

The previous prime is 31321133003003. The next prime is 31321133003107. The reversal of 31321133003081 is 18030033112313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31260220295056 + 60912708025 = 5591084^2 + 246805^2 .

It is an emirp because it is prime and its reverse (18030033112313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31321133003081 - 2²² = 31321128808777 is a prime.

It is a super-2 number, since 2×31321133003081² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31321136003081) 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, 15660566501540 + 15660566501541.

It is an arithmetic number, because the mean of its divisors is an integer number (15660566501541).

Almost surely, 2^{31321133003081} is an apocalyptic number.

It is an amenable number.

31321133003081 is a deficient number, since it is larger than the sum of its proper divisors (1).

31321133003081 is an equidigital number, since it uses as much as digits as its factorization.

31321133003081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 31321133003081 its reverse (18030033112313), we get a palindrome (49351166115394).

The spelling of 31321133003081 in words is "thirty-one trillion, three hundred twenty-one billion, one hundred thirty-three million, three thousand, eighty-one".