1001131002011 has 64 divisors (see below), whose sum is σ = 1236721920000. Its totient is φ = 807824223360.

The previous prime is 1001131001971. The next prime is 1001131002019. The reversal of 1001131002011 is 1102001311001.

It is a happy number.

It is not a de Polignac number, because 1001131002011 - 2¹⁸ = 1001130739867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001131001983 and 1001131002001.

It is not an unprimeable number, because it can be changed into a prime (1001131002019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1193242730 + ... + 1193243568.

It is an arithmetic number, because the mean of its divisors is an integer number (19323780000).

Almost surely, 2^{1001131002011} is an apocalyptic number.

1001131002011 is a deficient number, since it is larger than the sum of its proper divisors (235590917989).

1001131002011 is an equidigital number, since it uses as much as digits as its factorization.

1001131002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1001131002011 its reverse (1102001311001), we get a palindrome (2103132313012).

The spelling of 1001131002011 in words is "one trillion, one billion, one hundred thirty-one million, two thousand, eleven".