10003311413011 has 16 divisors (see below), whose sum is σ = 12034376236800. Its totient is φ = 8122775478048.

The previous prime is 10003311412949. The next prime is 10003311413059. The reversal of 10003311413011 is 11031411330001.

It is a happy number.

It is not a de Polignac number, because 10003311413011 - 2¹³ = 10003311404819 is a prime.

It is a super-2 number, since 2×10003311413011² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10003311413011.

It is not an unprimeable number, because it can be changed into a prime (10003311413111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4170456 + ... + 6115498.

It is an arithmetic number, because the mean of its divisors is an integer number (752148514800).

Almost surely, 2^{10003311413011} is an apocalyptic number.

10003311413011 is a deficient number, since it is larger than the sum of its proper divisors (2031064823789).

10003311413011 is a wasteful number, since it uses less digits than its factorization.

10003311413011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983738.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10003311413011 its reverse (11031411330001), we get a palindrome (21034722743012).

The spelling of 10003311413011 in words is "ten trillion, three billion, three hundred eleven million, four hundred thirteen thousand, eleven".