10013120002013 has 16 divisors (see below), whose sum is σ = 10116376554240. Its totient is φ = 9910074803904.

The previous prime is 10013120002009. The next prime is 10013120002021. The reversal of 10013120002013 is 31020002131001.

It is a cyclic number.

It is not a de Polignac number, because 10013120002013 - 2² = 10013120002009 is a prime.

It is a super-2 number, since 2×10013120002013² (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 (10013120002063) 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, 976598795 + ... + 976609047.

It is an arithmetic number, because the mean of its divisors is an integer number (632273534640).

Almost surely, 2^{10013120002013} is an apocalyptic number.

It is an amenable number.

10013120002013 is a deficient number, since it is larger than the sum of its proper divisors (103256552227).

10013120002013 is a wasteful number, since it uses less digits than its factorization.

10013120002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19588.

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

Adding to 10013120002013 its reverse (31020002131001), we get a palindrome (41033122133014).

The spelling of 10013120002013 in words is "ten trillion, thirteen billion, one hundred twenty million, two thousand, thirteen".