1001010600513 has 96 divisors (see below), whose sum is σ = 1845688965120. Its totient is φ = 507614929920.

The previous prime is 1001010600511. The next prime is 1001010600547. The reversal of 1001010600513 is 3150060101001.

1001010600513 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 10 + 600 + 51 + 3 = 666.

It is not a de Polignac number, because 1001010600513 - 2¹ = 1001010600511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001010600511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56281420 + ... + 56299202.

It is an arithmetic number, because the mean of its divisors is an integer number (19225926720).

Almost surely, 2^{1001010600513} is an apocalyptic number.

It is an amenable number.

1001010600513 is a deficient number, since it is larger than the sum of its proper divisors (844678364607).

1001010600513 is a wasteful number, since it uses less digits than its factorization.

1001010600513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19739 (or 19736 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 1001010600513 its reverse (3150060101001), we get a palindrome (4151070701514).

The spelling of 1001010600513 in words is "one trillion, one billion, ten million, six hundred thousand, five hundred thirteen".