1001011122131 has 8 divisors (see below), whose sum is σ = 1012620598560. Its totient is φ = 989409693888.

The previous prime is 1001011122121. The next prime is 1001011122143. The reversal of 1001011122131 is 1312211101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001011122131 - 2³⁰ = 999937380307 is a prime.

It is a super-2 number, since 2×1001011122131² (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 (1001011122101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1761671 + ... + 2259536.

It is an arithmetic number, because the mean of its divisors is an integer number (126577574820).

Almost surely, 2^{1001011122131} is an apocalyptic number.

1001011122131 is a deficient number, since it is larger than the sum of its proper divisors (11609476429).

1001011122131 is an equidigital number, since it uses as much as digits as its factorization.

1001011122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024093.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1001011122131 its reverse (1312211101001), we get a palindrome (2313222223132).

The spelling of 1001011122131 in words is "one trillion, one billion, eleven million, one hundred twenty-two thousand, one hundred thirty-one".