2003121102013 has 2 divisors, whose sum is σ = 2003121102014. Its totient is φ = 2003121102012.

The previous prime is 2003121102001. The next prime is 2003121102019. The reversal of 2003121102013 is 3102011213002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1124876602404 + 878244499609 = 1060602^2 + 937147^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003121102013 - 2¹³ = 2003121093821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003121102019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001560551006 + 1001560551007.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560551007).

Almost surely, 2^{2003121102013} is an apocalyptic number.

It is an amenable number.

2003121102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003121102013 is an equidigital number, since it uses as much as digits as its factorization.

2003121102013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2003121102013 its reverse (3102011213002), we get a palindrome (5105132315015).

The spelling of 2003121102013 in words is "two trillion, three billion, one hundred twenty-one million, one hundred two thousand, thirteen".