31590214887601 has 2 divisors, whose sum is σ = 31590214887602. Its totient is φ = 31590214887600.

The previous prime is 31590214887493. The next prime is 31590214887617. The reversal of 31590214887601 is 10678841209513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26915966563600 + 4674248324001 = 5188060^2 + 2162001^2 .

It is an emirp because it is prime and its reverse (10678841209513) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31590214887601 - 2³¹ = 31588067403953 is a prime.

It is a super-2 number, since 2×31590214887601² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31590214887001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15795107443800 + 15795107443801.

It is an arithmetic number, because the mean of its divisors is an integer number (15795107443801).

It is a 2-persistent number, because it is pandigital, and so is 2⋅31590214887601 = 63180429775202, but 3⋅31590214887601 = 94770644662803 is not.

Almost surely, 2^{31590214887601} is an apocalyptic number.

It is an amenable number.

31590214887601 is a deficient number, since it is larger than the sum of its proper divisors (1).

31590214887601 is an equidigital number, since it uses as much as digits as its factorization.

31590214887601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 31590214887601 in words is "thirty-one trillion, five hundred ninety billion, two hundred fourteen million, eight hundred eighty-seven thousand, six hundred one".