1000011131113 has 16 divisors (see below), whose sum is σ = 1069311995136. Its totient is φ = 932878312960.

The previous prime is 1000011131107. The next prime is 1000011131129. The reversal of 1000011131113 is 3111311100001.

It is a cyclic number.

It is not a de Polignac number, because 1000011131113 - 2²⁹ = 999474260201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000011131093 and 1000011131102.

It is not an unprimeable number, because it can be changed into a prime (1000011131813) 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, 2554881 + ... + 2920177.

It is an arithmetic number, because the mean of its divisors is an integer number (66831999696).

Almost surely, 2^{1000011131113} is an apocalyptic number.

It is an amenable number.

1000011131113 is a deficient number, since it is larger than the sum of its proper divisors (69300864023).

1000011131113 is a wasteful number, since it uses less digits than its factorization.

1000011131113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368264.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1000011131113 its reverse (3111311100001), we get a palindrome (4111322231114).

The spelling of 1000011131113 in words is "one trillion, eleven million, one hundred thirty-one thousand, one hundred thirteen".