10130011313077 has 2 divisors, whose sum is σ = 10130011313078. Its totient is φ = 10130011313076.

The previous prime is 10130011313033. The next prime is 10130011313111. The reversal of 10130011313077 is 77031311003101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9822902490801 + 307108822276 = 3134151^2 + 554174^2 .

It is a cyclic number.

It is not a de Polignac number, because 10130011313077 - 2¹⁹ = 10130010788789 is a prime.

It is a super-3 number, since 3×10130011313077³ (a number of 40 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 (10130011383077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065005656538 + 5065005656539.

It is an arithmetic number, because the mean of its divisors is an integer number (5065005656539).

Almost surely, 2^{10130011313077} is an apocalyptic number.

It is an amenable number.

10130011313077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10130011313077 is an equidigital number, since it uses as much as digits as its factorization.

10130011313077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1323, while the sum is 28.

Adding to 10130011313077 its reverse (77031311003101), we get a palindrome (87161322316178).

The spelling of 10130011313077 in words is "ten trillion, one hundred thirty billion, eleven million, three hundred thirteen thousand, seventy-seven".