31000013201 has 2 divisors, whose sum is σ = 31000013202. Its totient is φ = 31000013200.

The previous prime is 31000013173. The next prime is 31000013221. The reversal of 31000013201 is 10231000013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26484307600 + 4515705601 = 162740^2 + 67199^2 .

It is a cyclic number.

It is not a de Polignac number, because 31000013201 - 2⁶ = 31000013137 is a prime.

It is a super-2 number, since 2×31000013201² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31000013221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500006600 + 15500006601.

It is an arithmetic number, because the mean of its divisors is an integer number (15500006601).

Almost surely, 2^31000013201 is an apocalyptic number.

It is an amenable number.

31000013201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31000013201 is an equidigital number, since it uses as much as digits as its factorization.

31000013201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 31000013201 its reverse (10231000013), we get a palindrome (41231013214).

The spelling of 31000013201 in words is "thirty-one billion, thirteen thousand, two hundred one".