10002005036513 has 16 divisors (see below), whose sum is σ = 12100031306880. Its totient is φ = 8085020904576.

The previous prime is 10002005036501. The next prime is 10002005036579. The reversal of 10002005036513 is 31563050020001.

It is not a de Polignac number, because 10002005036513 - 2⁶ = 10002005036449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002005036593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572909420 + ... + 572926877.

It is an arithmetic number, because the mean of its divisors is an integer number (756251956680).

Almost surely, 2^{10002005036513} is an apocalyptic number.

It is an amenable number.

10002005036513 is a deficient number, since it is larger than the sum of its proper divisors (2098026270367).

10002005036513 is a wasteful number, since it uses less digits than its factorization.

10002005036513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145836376.

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 10002005036513 its reverse (31563050020001), we get a palindrome (41565055056514).

The spelling of 10002005036513 in words is "ten trillion, two billion, five million, thirty-six thousand, five hundred thirteen".