31000332011101 has 2 divisors, whose sum is σ = 31000332011102. Its totient is φ = 31000332011100.

The previous prime is 31000332011069. The next prime is 31000332011111. The reversal of 31000332011101 is 10111023300013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30828812616900 + 171519394201 = 5552370^2 + 414149^2 .

It is a cyclic number.

It is not a de Polignac number, because 31000332011101 - 2⁵ = 31000332011069 is a prime.

It is a super-2 number, since 2×31000332011101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31000332011111) 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, 15500166005550 + 15500166005551.

It is an arithmetic number, because the mean of its divisors is an integer number (15500166005551).

Almost surely, 2^{31000332011101} is an apocalyptic number.

It is an amenable number.

31000332011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31000332011101 is an equidigital number, since it uses as much as digits as its factorization.

31000332011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 31000332011101 its reverse (10111023300013), we get a palindrome (41111355311114).

The spelling of 31000332011101 in words is "thirty-one trillion, three hundred thirty-two million, eleven thousand, one hundred one".