13002003222031 has 16 divisors (see below), whose sum is σ = 13797516360960. Its totient is φ = 12209914562560.

The previous prime is 13002003221951. The next prime is 13002003222041. The reversal of 13002003222031 is 13022230020031.

13002003222031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13002003222031 - 2⁷ = 13002003221903 is a prime.

It is a super-2 number, since 2×13002003222031² (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 (13002003222041) 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, 28621890 + ... + 29072608.

It is an arithmetic number, because the mean of its divisors is an integer number (862344772560).

Almost surely, 2^{13002003222031} is an apocalyptic number.

13002003222031 is a deficient number, since it is larger than the sum of its proper divisors (795513138929).

13002003222031 is a wasteful number, since it uses less digits than its factorization.

13002003222031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454514.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13002003222031 its reverse (13022230020031), we get a palindrome (26024233242062).

The spelling of 13002003222031 in words is "thirteen trillion, two billion, three million, two hundred twenty-two thousand, thirty-one".