13111379064 has 256 divisors, whose sum is σ = 45013708800. Its totient is φ = 3450415104.

The previous prime is 13111379063. The next prime is 13111379069. The reversal of 13111379064 is 46097311131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111379063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1202662 + ... + 1213514.

It is an arithmetic number, because the mean of its divisors is an integer number (175834800).

Almost surely, 2^13111379064 is an apocalyptic number.

13111379064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111379064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22506854400).

13111379064 is an abundant number, since it is smaller than the sum of its proper divisors (31902329736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13111379064 is a wasteful number, since it uses less digits than its factorization.

13111379064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10939 (or 10929 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

It can be divided in two parts, 1311137 and 9064, that added together give a square (1320201 = 1149²).

The spelling of 13111379064 in words is "thirteen billion, one hundred eleven million, three hundred seventy-nine thousand, sixty-four".