1033131121131 has 32 divisors (see below), whose sum is σ = 1446520430592. Its totient is φ = 654629675040.

The previous prime is 1033131121111. The next prime is 1033131121151. The reversal of 1033131121131 is 1311211313301.

It is an interprime number because it is at equal distance from previous prime (1033131121111) and next prime (1033131121151).

It is not a de Polignac number, because 1033131121131 - 2²² = 1033126926827 is a prime.

It is a super-2 number, since 2×1033131121131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1033131121098 and 1033131121107.

It is not an unprimeable number, because it can be changed into a prime (1033131121111) 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 31 ways as a sum of consecutive naturals, for example, 102376396 + ... + 102386486.

It is an arithmetic number, because the mean of its divisors is an integer number (45203763456).

Almost surely, 2^{1033131121131} is an apocalyptic number.

1033131121131 is a deficient number, since it is larger than the sum of its proper divisors (413389309461).

1033131121131 is a wasteful number, since it uses less digits than its factorization.

1033131121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19383.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 1033131121131 its reverse (1311211313301), we get a palindrome (2344342434432).

The spelling of 1033131121131 in words is "one trillion, thirty-three billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred thirty-one".