103133220021967 has 2 divisors, whose sum is σ = 103133220021968. Its totient is φ = 103133220021966.

The previous prime is 103133220021907. The next prime is 103133220022031. The reversal of 103133220021967 is 769120022331301.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 103133220021967 - 2³⁵ = 103098860283599 is a prime.

It is a super-3 number, since 3×103133220021967³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103133220021907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51566610010983 + 51566610010984.

It is an arithmetic number, because the mean of its divisors is an integer number (51566610010984).

Almost surely, 2^{103133220021967} is an apocalyptic number.

103133220021967 is a deficient number, since it is larger than the sum of its proper divisors (1).

103133220021967 is an equidigital number, since it uses as much as digits as its factorization.

103133220021967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 103133220021967 in words is "one hundred three trillion, one hundred thirty-three billion, two hundred twenty million, twenty-one thousand, nine hundred sixty-seven".