1001233013011 has 96 divisors (see below), whose sum is σ = 1375321973760. Its totient is φ = 707309625600.

The previous prime is 1001233012991. The next prime is 1001233013017. The reversal of 1001233013011 is 1103103321001.

It is not a de Polignac number, because 1001233013011 - 2¹¹ = 1001233010963 is a prime.

It is a super-2 number, since 2×1001233013011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001233013017) 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 95 ways as a sum of consecutive naturals, for example, 62729850 + ... + 62745808.

It is an arithmetic number, because the mean of its divisors is an integer number (14326270560).

Almost surely, 2^{1001233013011} is an apocalyptic number.

1001233013011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001233013011 is a deficient number, since it is larger than the sum of its proper divisors (374088960749).

1001233013011 is a wasteful number, since it uses less digits than its factorization.

1001233013011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16113 (or 16094 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1001233013011 its reverse (1103103321001), we get a palindrome (2104336334012).

The spelling of 1001233013011 in words is "one trillion, one billion, two hundred thirty-three million, thirteen thousand, eleven".