31134224400401 has 2 divisors, whose sum is σ = 31134224400402. Its totient is φ = 31134224400400.

The previous prime is 31134224400397. The next prime is 31134224400407. The reversal of 31134224400401 is 10400442243113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27230122626001 + 3904101774400 = 5218249^2 + 1975880^2 .

It is a cyclic number.

It is not a de Polignac number, because 31134224400401 - 2² = 31134224400397 is a prime.

It is not a weakly prime, because it can be changed into another prime (31134224400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15567112200200 + 15567112200201.

It is an arithmetic number, because the mean of its divisors is an integer number (15567112200201).

Almost surely, 2^{31134224400401} is an apocalyptic number.

It is an amenable number.

31134224400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

31134224400401 is an equidigital number, since it uses as much as digits as its factorization.

31134224400401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 31134224400401 its reverse (10400442243113), we get a palindrome (41534666643514).

The spelling of 31134224400401 in words is "thirty-one trillion, one hundred thirty-four billion, two hundred twenty-four million, four hundred thousand, four hundred one".