101301232113181 has 2 divisors, whose sum is σ = 101301232113182. Its totient is φ = 101301232113180.

The previous prime is 101301232113157. The next prime is 101301232113197. The reversal of 101301232113181 is 181311232103101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98869035910681 + 2432196202500 = 9943291^2 + 1559550^2 .

It is a cyclic number.

It is not a de Polignac number, because 101301232113181 - 2²¹ = 101301230016029 is a prime.

It is a super-2 number, since 2×101301232113181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101301232113131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50650616056590 + 50650616056591.

It is an arithmetic number, because the mean of its divisors is an integer number (50650616056591).

Almost surely, 2^{101301232113181} is an apocalyptic number.

It is an amenable number.

101301232113181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101301232113181 is an equidigital number, since it uses as much as digits as its factorization.

101301232113181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 28.

Adding to 101301232113181 its reverse (181311232103101), we get a palindrome (282612464216282).

The spelling of 101301232113181 in words is "one hundred one trillion, three hundred one billion, two hundred thirty-two million, one hundred thirteen thousand, one hundred eighty-one".