10002000133013 has 16 divisors (see below), whose sum is σ = 11490992695296. Its totient is φ = 8528043672960.

The previous prime is 10002000132991. The next prime is 10002000133039. The reversal of 10002000133013 is 31033100020001.

It is not a de Polignac number, because 10002000133013 - 2¹⁰ = 10002000131989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002000133093) 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, 76936895 + ... + 77066787.

It is an arithmetic number, because the mean of its divisors is an integer number (718187043456).

Almost surely, 2^{10002000133013} is an apocalyptic number.

It is an amenable number.

10002000133013 is a deficient number, since it is larger than the sum of its proper divisors (1488992562283).

10002000133013 is a wasteful number, since it uses less digits than its factorization.

10002000133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187684.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10002000133013 its reverse (31033100020001), we get a palindrome (41035100153014).

The spelling of 10002000133013 in words is "ten trillion, two billion, one hundred thirty-three thousand, thirteen".