10113003111311 has 16 divisors (see below), whose sum is σ = 10530338515200. Its totient is φ = 9703821177600.

The previous prime is 10113003111287. The next prime is 10113003111317. The reversal of 10113003111311 is 11311130031101.

It is a cyclic number.

It is not a de Polignac number, because 10113003111311 - 2⁶ = 10113003111247 is a prime.

It is a super-2 number, since 2×10113003111311² (a number of 27 digits) contains 22 as substring.

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 10113003111311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113003111317) 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, 32254445 + ... + 32566473.

It is an arithmetic number, because the mean of its divisors is an integer number (658146157200).

Almost surely, 2^{10113003111311} is an apocalyptic number.

10113003111311 is a deficient number, since it is larger than the sum of its proper divisors (417335403889).

10113003111311 is a wasteful number, since it uses less digits than its factorization.

10113003111311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325090.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 10113003111311 its reverse (11311130031101), we get a palindrome (21424133142412).

The spelling of 10113003111311 in words is "ten trillion, one hundred thirteen billion, three million, one hundred eleven thousand, three hundred eleven".