31133304014401 has 2 divisors, whose sum is σ = 31133304014402. Its totient is φ = 31133304014400.

The previous prime is 31133304014399. The next prime is 31133304014521. The reversal of 31133304014401 is 10441040333113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20481272589376 + 10652031425025 = 4525624^2 + 3263745^2 .

It is a cyclic number.

It is not a de Polignac number, because 31133304014401 - 2¹ = 31133304014399 is a prime.

Together with 31133304014399, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 31133304014401.

It is not a weakly prime, because it can be changed into another prime (31133304012401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566652007200 + 15566652007201.

It is an arithmetic number, because the mean of its divisors is an integer number (15566652007201).

Almost surely, 2^{31133304014401} is an apocalyptic number.

It is an amenable number.

31133304014401 is a deficient number, since it is larger than the sum of its proper divisors (1).

31133304014401 is an equidigital number, since it uses as much as digits as its factorization.

31133304014401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 31133304014401 its reverse (10441040333113), we get a palindrome (41574344347514).

The spelling of 31133304014401 in words is "thirty-one trillion, one hundred thirty-three billion, three hundred four million, fourteen thousand, four hundred one".