2001122133131 has 16 divisors (see below), whose sum is σ = 2225115806688. Its totient is φ = 1784309683200.

The previous prime is 2001122133119. The next prime is 2001122133137. The reversal of 2001122133131 is 1313312211002.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2001122133131 is a prime.

It is a super-2 number, since 2×2001122133131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001122133137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3987356 + ... + 4461081.

It is an arithmetic number, because the mean of its divisors is an integer number (139069737918).

Almost surely, 2^{2001122133131} is an apocalyptic number.

2001122133131 is a deficient number, since it is larger than the sum of its proper divisors (223993673557).

2001122133131 is a wasteful number, since it uses less digits than its factorization.

2001122133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448862.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2001122133131 its reverse (1313312211002), we get a palindrome (3314434344133).

The spelling of 2001122133131 in words is "two trillion, one billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-one".