10133032107101 has 2 divisors, whose sum is σ = 10133032107102. Its totient is φ = 10133032107100.

The previous prime is 10133032107059. The next prime is 10133032107113. The reversal of 10133032107101 is 10170123033101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9811140411076 + 321891696025 = 3132274^2 + 567355^2 .

It is an emirp because it is prime and its reverse (10170123033101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10133032107101 - 2¹⁴ = 10133032090717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10133032107181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066516053550 + 5066516053551.

It is an arithmetic number, because the mean of its divisors is an integer number (5066516053551).

Almost surely, 2^{10133032107101} is an apocalyptic number.

It is an amenable number.

10133032107101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133032107101 is an equidigital number, since it uses as much as digits as its factorization.

10133032107101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 23.

The spelling of 10133032107101 in words is "ten trillion, one hundred thirty-three billion, thirty-two million, one hundred seven thousand, one hundred one".