10003120213011 has 32 divisors (see below), whose sum is σ = 13807276277760. Its totient is φ = 6434186392704.

The previous prime is 10003120213001. The next prime is 10003120213027. The reversal of 10003120213011 is 11031202130001.

It is a happy number.

It is not a de Polignac number, because 10003120213011 - 2⁶ = 10003120212947 is a prime.

It is a super-2 number, since 2×10003120213011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10003120213001) 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, 938109666 + ... + 938120328.

It is an arithmetic number, because the mean of its divisors is an integer number (431477383680).

Almost surely, 2^{10003120213011} is an apocalyptic number.

10003120213011 is a deficient number, since it is larger than the sum of its proper divisors (3804156064749).

10003120213011 is a wasteful number, since it uses less digits than its factorization.

10003120213011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17395.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10003120213011 its reverse (11031202130001), we get a palindrome (21034322343012).

The spelling of 10003120213011 in words is "ten trillion, three billion, one hundred twenty million, two hundred thirteen thousand, eleven".