13105400313 has 16 divisors (see below), whose sum is σ = 17756209152. Its totient is φ = 8596266000.

The previous prime is 13105400303. The next prime is 13105400323. The reversal of 13105400313 is 31300450131.

It is an interprime number because it is at equal distance from previous prime (13105400303) and next prime (13105400323).

It is not a de Polignac number, because 13105400313 - 2⁵ = 13105400281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13105400313.

It is not an unprimeable number, because it can be changed into a prime (13105400303) 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, 41928 + ... + 167238.

It is an arithmetic number, because the mean of its divisors is an integer number (1109763072).

Almost surely, 2^13105400313 is an apocalyptic number.

It is an amenable number.

13105400313 is a deficient number, since it is larger than the sum of its proper divisors (4650808839).

13105400313 is a wasteful number, since it uses less digits than its factorization.

13105400313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125876.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 13105400313 its reverse (31300450131), we get a palindrome (44405850444).

The spelling of 13105400313 in words is "thirteen billion, one hundred five million, four hundred thousand, three hundred thirteen".