11134400313413 has 16 divisors (see below), whose sum is σ = 12633172372800. Its totient is φ = 9728340796800.

The previous prime is 11134400313359. The next prime is 11134400313467. The reversal of 11134400313413 is 31431300443111.

It is an interprime number because it is at equal distance from previous prime (11134400313359) and next prime (11134400313467).

It is a cyclic number.

It is not a de Polignac number, because 11134400313413 - 2⁶ = 11134400313349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134400303413) 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, 19685063 + ... + 20242788.

It is an arithmetic number, because the mean of its divisors is an integer number (789573273300).

Almost surely, 2^{11134400313413} is an apocalyptic number.

11134400313413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11134400313413 is a deficient number, since it is larger than the sum of its proper divisors (1498772059387).

11134400313413 is a wasteful number, since it uses less digits than its factorization.

11134400313413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39929012.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 11134400313413 its reverse (31431300443111), we get a palindrome (42565700756524).

The spelling of 11134400313413 in words is "eleven trillion, one hundred thirty-four billion, four hundred million, three hundred thirteen thousand, four hundred thirteen".