31302133104001 has 2 divisors, whose sum is σ = 31302133104002. Its totient is φ = 31302133104000.

The previous prime is 31302133103999. The next prime is 31302133104017. The reversal of 31302133104001 is 10040133120313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27839552742400 + 3462580361601 = 5276320^2 + 1860801^2 .

It is a cyclic number.

It is not a de Polignac number, because 31302133104001 - 2¹ = 31302133103999 is a prime.

Together with 31302133103999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31302133104061) 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, 15651066552000 + 15651066552001.

It is an arithmetic number, because the mean of its divisors is an integer number (15651066552001).

Almost surely, 2^{31302133104001} is an apocalyptic number.

It is an amenable number.

31302133104001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31302133104001 is an equidigital number, since it uses as much as digits as its factorization.

31302133104001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 31302133104001 its reverse (10040133120313), we get a palindrome (41342266224314).

The spelling of 31302133104001 in words is "thirty-one trillion, three hundred two billion, one hundred thirty-three million, one hundred four thousand, one".