20131102123013 has 12 divisors (see below), whose sum is σ = 23452608867660. Its totient is φ = 17229591090432.

The previous prime is 20131102123003. The next prime is 20131102123019. The reversal of 20131102123013 is 31032120113102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4674512091844 + 15456590031169 = 2162062^2 + 3931487^2 .

It is not a de Polignac number, because 20131102123013 - 2¹² = 20131102118917 is a prime.

It is a super-2 number, since 2×20131102123013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131102123019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305196458 + ... + 305262411.

It is an arithmetic number, because the mean of its divisors is an integer number (1954384072305).

Almost surely, 2^{20131102123013} is an apocalyptic number.

It is an amenable number.

20131102123013 is a deficient number, since it is larger than the sum of its proper divisors (3321506744647).

20131102123013 is an equidigital number, since it uses as much as digits as its factorization.

20131102123013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610459556 (or 610459549 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 20131102123013 its reverse (31032120113102), we get a palindrome (51163222236115).

The spelling of 20131102123013 in words is "twenty trillion, one hundred thirty-one billion, one hundred two million, one hundred twenty-three thousand, thirteen".