31330013021101 has 2 divisors, whose sum is σ = 31330013021102. Its totient is φ = 31330013021100.

The previous prime is 31330013021063. The next prime is 31330013021107. The reversal of 31330013021101 is 10112031003313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30911086931076 + 418926090025 = 5559774^2 + 647245^2 .

It is a cyclic number.

It is not a de Polignac number, because 31330013021101 - 2⁹ = 31330013020589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31330013021107) 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, 15665006510550 + 15665006510551.

It is an arithmetic number, because the mean of its divisors is an integer number (15665006510551).

Almost surely, 2^{31330013021101} is an apocalyptic number.

It is an amenable number.

31330013021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31330013021101 is an equidigital number, since it uses as much as digits as its factorization.

31330013021101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31330013021101 its reverse (10112031003313), we get a palindrome (41442044024414).

The spelling of 31330013021101 in words is "thirty-one trillion, three hundred thirty billion, thirteen million, twenty-one thousand, one hundred one".