10514060435313 has 96 divisors (see below), whose sum is σ = 15887573425152. Its totient is φ = 6694401168000.

The previous prime is 10514060435213. The next prime is 10514060435353. The reversal of 10514060435313 is 31353406041501.

10514060435313 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 0 + 604 + 35 + 3 + 13 = 666.

It is not a de Polignac number, because 10514060435313 - 2¹⁰ = 10514060434289 is a prime.

It is a super-2 number, since 2×10514060435313² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10514060435353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4121543388 + ... + 4121545938.

It is an arithmetic number, because the mean of its divisors is an integer number (165495556512).

Almost surely, 2^{10514060435313} is an apocalyptic number.

It is an amenable number.

10514060435313 is a deficient number, since it is larger than the sum of its proper divisors (5373512989839).

10514060435313 is a wasteful number, since it uses less digits than its factorization.

10514060435313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 10514060435313 its reverse (31353406041501), we get a palindrome (41867466476814).

The spelling of 10514060435313 in words is "ten trillion, five hundred fourteen billion, sixty million, four hundred thirty-five thousand, three hundred thirteen".