10153041121313 has 2 divisors, whose sum is σ = 10153041121314. Its totient is φ = 10153041121312.

The previous prime is 10153041121273. The next prime is 10153041121343. The reversal of 10153041121313 is 31312114035101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9833599124449 + 319441996864 = 3135857^2 + 565192^2 .

It is an emirp because it is prime and its reverse (31312114035101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10153041121313 is a prime.

It is a super-2 number, since 2×10153041121313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10153041121343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5076520560656 + 5076520560657.

It is an arithmetic number, because the mean of its divisors is an integer number (5076520560657).

Almost surely, 2^{10153041121313} is an apocalyptic number.

It is an amenable number.

10153041121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10153041121313 is an equidigital number, since it uses as much as digits as its factorization.

10153041121313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 10153041121313 its reverse (31312114035101), we get a palindrome (41465155156414).

The spelling of 10153041121313 in words is "ten trillion, one hundred fifty-three billion, forty-one million, one hundred twenty-one thousand, three hundred thirteen".