10120213000013 has 8 divisors (see below), whose sum is σ = 10220550668280. Its totient is φ = 10019878028800.

The previous prime is 10120212999989. The next prime is 10120213000019. The reversal of 10120213000013 is 31000031202101.

It can be written as a sum of positive squares in 4 ways, for example, as 7767664424809 + 2352548575204 = 2787053^2 + 1533802^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10120213000013 - 2²² = 10120208805709 is a prime.

It is a super-2 number, since 2×10120213000013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120213000019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7337081 + ... + 8606577.

It is an arithmetic number, because the mean of its divisors is an integer number (1277568833535).

Almost surely, 2^{10120213000013} is an apocalyptic number.

It is an amenable number.

10120213000013 is a deficient number, since it is larger than the sum of its proper divisors (100337668267).

10120213000013 is a wasteful number, since it uses less digits than its factorization.

10120213000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348527.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10120213000013 its reverse (31000031202101), we get a palindrome (41120244202114).

The spelling of 10120213000013 in words is "ten trillion, one hundred twenty billion, two hundred thirteen million, thirteen", and thus it is an aban number.