2031133211331 has 16 divisors (see below), whose sum is σ = 3115832352000. Its totient is φ = 1152857966688.

The previous prime is 2031133211251. The next prime is 2031133211369. The reversal of 2031133211331 is 1331123311302.

It is not a de Polignac number, because 2031133211331 - 2⁷ = 2031133211203 is a prime.

It is a super-3 number, since 3×2031133211331³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2031133211381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324562741 + ... + 324568998.

It is an arithmetic number, because the mean of its divisors is an integer number (194739522000).

Almost surely, 2^{2031133211331} is an apocalyptic number.

2031133211331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2031133211331 is a deficient number, since it is larger than the sum of its proper divisors (1084699140669).

2031133211331 is a wasteful number, since it uses less digits than its factorization.

2031133211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649131898.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 2031133211331 its reverse (1331123311302), we get a palindrome (3362256522633).

The spelling of 2031133211331 in words is "two trillion, thirty-one billion, one hundred thirty-three million, two hundred eleven thousand, three hundred thirty-one".