10002020132013 has 144 divisors (see below), whose sum is σ = 17279584035840. Its totient is φ = 5126309016192.

The previous prime is 10002020132011. The next prime is 10002020132023. The reversal of 10002020132013 is 31023102020001.

10002020132013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002020132013 - 2¹ = 10002020132011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002020131983 and 10002020132001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002020132011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162268506 + ... + 162330132.

It is an arithmetic number, because the mean of its divisors is an integer number (119997111360).

Almost surely, 2^{10002020132013} is an apocalyptic number.

10002020132013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10002020132013 is a deficient number, since it is larger than the sum of its proper divisors (7277563903827).

10002020132013 is a wasteful number, since it uses less digits than its factorization.

10002020132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61856 (or 61836 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10002020132013 its reverse (31023102020001), we get a palindrome (41025122152014).

The spelling of 10002020132013 in words is "ten trillion, two billion, twenty million, one hundred thirty-two thousand, thirteen".