31020011021009 has 2 divisors, whose sum is σ = 31020011021010. Its totient is φ = 31020011021008.

The previous prime is 31020011020939. The next prime is 31020011021039. The reversal of 31020011021009 is 90012011002013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31018439136400 + 1571884609 = 5569420^2 + 39647^2 .

It is a cyclic number.

It is not a de Polignac number, because 31020011021009 - 2¹⁶ = 31020010955473 is a prime.

It is not a weakly prime, because it can be changed into another prime (31020011021039) 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, 15510005510504 + 15510005510505.

It is an arithmetic number, because the mean of its divisors is an integer number (15510005510505).

Almost surely, 2^{31020011021009} is an apocalyptic number.

It is an amenable number.

31020011021009 is a deficient number, since it is larger than the sum of its proper divisors (1).

31020011021009 is an equidigital number, since it uses as much as digits as its factorization.

31020011021009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 31020011021009 in words is "thirty-one trillion, twenty billion, eleven million, twenty-one thousand, nine".