100628397964813 has 2 divisors, whose sum is σ = 100628397964814. Its totient is φ = 100628397964812.

The previous prime is 100628397964673. The next prime is 100628397964909. The reversal of 100628397964813 is 318469793826001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96073362096804 + 4555035868009 = 9801702^2 + 2134253^2 .

It is a cyclic number.

It is not a de Polignac number, because 100628397964813 - 2¹⁷ = 100628397833741 is a prime.

It is a super-2 number, since 2×100628397964813² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100628397965813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50314198982406 + 50314198982407.

It is an arithmetic number, because the mean of its divisors is an integer number (50314198982407).

Almost surely, 2^{100628397964813} is an apocalyptic number.

It is an amenable number.

100628397964813 is a deficient number, since it is larger than the sum of its proper divisors (1).

100628397964813 is an equidigital number, since it uses as much as digits as its factorization.

100628397964813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94058496, while the sum is 67.

The spelling of 100628397964813 in words is "one hundred trillion, six hundred twenty-eight billion, three hundred ninety-seven million, nine hundred sixty-four thousand, eight hundred thirteen".