102772775745133 has 8 divisors (see below), whose sum is σ = 110702450161688. Its totient is φ = 94846540797504.

The previous prime is 102772775745131. The next prime is 102772775745161. The reversal of 102772775745133 is 331547577277201.

It can be written as a sum of positive squares in 4 ways, for example, as 1619006849604 + 101153768895529 = 1272402^2 + 10057523^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102772775745133 - 2¹ = 102772775745131 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102772775745131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 859805166 + ... + 859924687.

It is an arithmetic number, because the mean of its divisors is an integer number (13837806270211).

Almost surely, 2^{102772775745133} is an apocalyptic number.

102772775745133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102772775745133 is a deficient number, since it is larger than the sum of its proper divisors (7929674416555).

102772775745133 is a wasteful number, since it uses less digits than its factorization.

102772775745133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719734463.

The product of its (nonzero) digits is 60505200, while the sum is 61.

The spelling of 102772775745133 in words is "one hundred two trillion, seven hundred seventy-two billion, seven hundred seventy-five million, seven hundred forty-five thousand, one hundred thirty-three".