10010220012013 has 6 divisors (see below), whose sum is σ = 10839469007274. Its totient is φ = 9240203087856.

The previous prime is 10010220011929. The next prime is 10010220012043. The reversal of 10010220012013 is 31021002201001.

It can be written as a sum of positive squares in 3 ways, for example, as 626063902564 + 9384156109449 = 791242^2 + 3063357^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10010220012013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010220011984 and 10010220012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010220012043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29616035370 + ... + 29616035707.

It is an arithmetic number, because the mean of its divisors is an integer number (1806578167879).

Almost surely, 2^{10010220012013} is an apocalyptic number.

10010220012013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10010220012013 is a deficient number, since it is larger than the sum of its proper divisors (829248995261).

10010220012013 is an equidigital number, since it uses as much as digits as its factorization.

10010220012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59232071103 (or 59232071090 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10010220012013 its reverse (31021002201001), we get a palindrome (41031222213014).

The spelling of 10010220012013 in words is "ten trillion, ten billion, two hundred twenty million, twelve thousand, thirteen".