2002132030311 has 48 divisors (see below), whose sum is σ = 3310395316800. Its totient is φ = 1142246375424.

The previous prime is 2002132030289. The next prime is 2002132030321. The reversal of 2002132030311 is 1130302312002.

2002132030311 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 1 + 320 + 30 + 311 = 666.

It is not a de Polignac number, because 2002132030311 - 2⁷ = 2002132030183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002132030321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105315975 + ... + 105334983.

It is an arithmetic number, because the mean of its divisors is an integer number (68966569100).

Almost surely, 2^{2002132030311} is an apocalyptic number.

2002132030311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2002132030311 is a deficient number, since it is larger than the sum of its proper divisors (1308263286489).

2002132030311 is a wasteful number, since it uses less digits than its factorization.

2002132030311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21608 (or 21605 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2002132030311 its reverse (1130302312002), we get a palindrome (3132434342313).

The spelling of 2002132030311 in words is "two trillion, two billion, one hundred thirty-two million, thirty thousand, three hundred eleven".