101132011361 has 2 divisors, whose sum is σ = 101132011362. Its totient is φ = 101132011360.

The previous prime is 101132011301. The next prime is 101132011391. The reversal of 101132011361 is 163110231101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100714830736 + 417180625 = 317356^2 + 20425^2 .

It is a cyclic number.

It is not a de Polignac number, because 101132011361 - 2¹⁰ = 101132010337 is a prime.

It is not a weakly prime, because it can be changed into another prime (101132011301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566005680 + 50566005681.

It is an arithmetic number, because the mean of its divisors is an integer number (50566005681).

Almost surely, 2^101132011361 is an apocalyptic number.

It is an amenable number.

101132011361 is a deficient number, since it is larger than the sum of its proper divisors (1).

101132011361 is an equidigital number, since it uses as much as digits as its factorization.

101132011361 is an evil number, because the sum of its binary digits is even.

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

Adding to 101132011361 its reverse (163110231101), we get a palindrome (264242242462).

The spelling of 101132011361 in words is "one hundred one billion, one hundred thirty-two million, eleven thousand, three hundred sixty-one".