101331310442009 has 2 divisors, whose sum is σ = 101331310442010. Its totient is φ = 101331310442008.

The previous prime is 101331310441961. The next prime is 101331310442053. The reversal of 101331310442009 is 900244013133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76846350102025 + 24484960339984 = 8766205^2 + 4948228^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101331310442009 is a prime.

It is not a weakly prime, because it can be changed into another prime (101331310442209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665655221004 + 50665655221005.

It is an arithmetic number, because the mean of its divisors is an integer number (50665655221005).

Almost surely, 2^{101331310442009} is an apocalyptic number.

It is an amenable number.

101331310442009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331310442009 is an equidigital number, since it uses as much as digits as its factorization.

101331310442009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 101331310442009 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred ten million, four hundred forty-two thousand, nine".