10012133120527 has 2 divisors, whose sum is σ = 10012133120528. Its totient is φ = 10012133120526.

The previous prime is 10012133120489. The next prime is 10012133120533. The reversal of 10012133120527 is 72502133121001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10012133120527 - 2¹⁹ = 10012132596239 is a prime.

It is a super-3 number, since 3×10012133120527³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10012133120495 and 10012133120504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012133121527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006066560263 + 5006066560264.

It is an arithmetic number, because the mean of its divisors is an integer number (5006066560264).

Almost surely, 2^{10012133120527} is an apocalyptic number.

10012133120527 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012133120527 is an equidigital number, since it uses as much as digits as its factorization.

10012133120527 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 10012133120527 its reverse (72502133121001), we get a palindrome (82514266241528).

The spelling of 10012133120527 in words is "ten trillion, twelve billion, one hundred thirty-three million, one hundred twenty thousand, five hundred twenty-seven".