2011003134417 has 32 divisors (see below), whose sum is σ = 3052460315520. Its totient is φ = 1307741760000.

The previous prime is 2011003134397. The next prime is 2011003134421. The reversal of 2011003134417 is 7144313001102.

2011003134417 is a `hidden beast` number, since 2 + 0 + 110 + 0 + 3 + 134 + 417 = 666.

It is not a de Polignac number, because 2011003134417 - 2¹⁶ = 2011003068881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2011003174417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6321817 + ... + 6632297.

It is an arithmetic number, because the mean of its divisors is an integer number (95389384860).

Almost surely, 2^{2011003134417} is an apocalyptic number.

2011003134417 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2011003134417 is a deficient number, since it is larger than the sum of its proper divisors (1041457181103).

2011003134417 is a wasteful number, since it uses less digits than its factorization.

2011003134417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316382 (or 316376 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 2011003134417 its reverse (7144313001102), we get a palindrome (9155316135519).

The spelling of 2011003134417 in words is "two trillion, eleven billion, three million, one hundred thirty-four thousand, four hundred seventeen".