106501005133 has 2 divisors, whose sum is σ = 106501005134. Its totient is φ = 106501005132.

The previous prime is 106501005113. The next prime is 106501005161. The reversal of 106501005133 is 331500105601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55056868164 + 51444136969 = 234642^2 + 226813^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106501005133 is a prime.

It is a super-2 number, since 2×106501005133² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106501005098 and 106501005107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106501005113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53250502566 + 53250502567.

It is an arithmetic number, because the mean of its divisors is an integer number (53250502567).

Almost surely, 2^106501005133 is an apocalyptic number.

It is an amenable number.

106501005133 is a deficient number, since it is larger than the sum of its proper divisors (1).

106501005133 is an equidigital number, since it uses as much as digits as its factorization.

106501005133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350, while the sum is 25.

The spelling of 106501005133 in words is "one hundred six billion, five hundred one million, five thousand, one hundred thirty-three".