101031310320029 has 2 divisors, whose sum is σ = 101031310320030. Its totient is φ = 101031310320028.

The previous prime is 101031310320019. The next prime is 101031310320037. The reversal of 101031310320029 is 920023013130101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100892442297529 + 138868022500 = 10044523^2 + 372650^2 .

It is an emirp because it is prime and its reverse (920023013130101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101031310320029 - 2¹⁶ = 101031310254493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101031310320019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50515655160014 + 50515655160015.

It is an arithmetic number, because the mean of its divisors is an integer number (50515655160015).

Almost surely, 2^{101031310320029} is an apocalyptic number.

It is an amenable number.

101031310320029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031310320029 is an equidigital number, since it uses as much as digits as its factorization.

101031310320029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 101031310320029 in words is "one hundred one trillion, thirty-one billion, three hundred ten million, three hundred twenty thousand, twenty-nine".