1001001121131 has 64 divisors (see below), whose sum is σ = 1547337738240. Its totient is φ = 569834496000.

The previous prime is 1001001121121. The next prime is 1001001121151. The reversal of 1001001121131 is 1311211001001.

It is not a de Polignac number, because 1001001121131 - 2⁶ = 1001001121067 is a prime.

It is a super-2 number, since 2×1001001121131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001001121121) 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 63 ways as a sum of consecutive naturals, for example, 13814526 + ... + 13886796.

It is an arithmetic number, because the mean of its divisors is an integer number (24177152160).

Almost surely, 2^{1001001121131} is an apocalyptic number.

1001001121131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001001121131 is a deficient number, since it is larger than the sum of its proper divisors (546336617109).

1001001121131 is a wasteful number, since it uses less digits than its factorization.

1001001121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72708.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1001001121131 its reverse (1311211001001), we get a palindrome (2312212122132).

The spelling of 1001001121131 in words is "one trillion, one billion, one million, one hundred twenty-one thousand, one hundred thirty-one".