10151034020513 has 2 divisors, whose sum is σ = 10151034020514. Its totient is φ = 10151034020512.

The previous prime is 10151034020473. The next prime is 10151034020521. The reversal of 10151034020513 is 31502043015101.

10151034020513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9981448191649 + 169585828864 = 3159343^2 + 411808^2 .

It is a cyclic number.

It is not a de Polignac number, because 10151034020513 - 2¹⁴ = 10151034004129 is a prime.

It is a super-2 number, since 2×10151034020513² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10151034020593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5075517010256 + 5075517010257.

It is an arithmetic number, because the mean of its divisors is an integer number (5075517010257).

Almost surely, 2^{10151034020513} is an apocalyptic number.

It is an amenable number.

10151034020513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10151034020513 is an equidigital number, since it uses as much as digits as its factorization.

10151034020513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 10151034020513 its reverse (31502043015101), we get a palindrome (41653077035614).

The spelling of 10151034020513 in words is "ten trillion, one hundred fifty-one billion, thirty-four million, twenty thousand, five hundred thirteen".