31066627676101 has 2 divisors, whose sum is σ = 31066627676102. Its totient is φ = 31066627676100.

The previous prime is 31066627676053. The next prime is 31066627676107. The reversal of 31066627676101 is 10167672666013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19905883483201 + 11160744192900 = 4461601^2 + 3340770^2 .

It is a cyclic number.

It is not a de Polignac number, because 31066627676101 - 2³¹ = 31064480192453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31066627676107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15533313838050 + 15533313838051.

It is an arithmetic number, because the mean of its divisors is an integer number (15533313838051).

Almost surely, 2^{31066627676101} is an apocalyptic number.

It is an amenable number.

31066627676101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31066627676101 is an equidigital number, since it uses as much as digits as its factorization.

31066627676101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 31066627676101 in words is "thirty-one trillion, sixty-six billion, six hundred twenty-seven million, six hundred seventy-six thousand, one hundred one".