2002201330031 has 16 divisors (see below), whose sum is σ = 2307148531200. Its totient is φ = 1702019352480.

The previous prime is 2002201330027. The next prime is 2002201330037. The reversal of 2002201330031 is 1300331022002.

It is a cyclic number.

It is not a de Polignac number, because 2002201330031 - 2² = 2002201330027 is a prime.

It is a super-2 number, since 2×2002201330031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002201329991 and 2002201330009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002201330037) 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, 808685 + ... + 2158326.

It is an arithmetic number, because the mean of its divisors is an integer number (144196783200).

Almost surely, 2^{2002201330031} is an apocalyptic number.

2002201330031 is a deficient number, since it is larger than the sum of its proper divisors (304947201169).

2002201330031 is a wasteful number, since it uses less digits than its factorization.

2002201330031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967814.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2002201330031 its reverse (1300331022002), we get a palindrome (3302532352033).

The spelling of 2002201330031 in words is "two trillion, two billion, two hundred one million, three hundred thirty thousand, thirty-one".