13103279640 has 192 divisors, whose sum is σ = 47956147200. Its totient is φ = 3074054400.

The previous prime is 13103279627. The next prime is 13103279677. The reversal of 13103279640 is 4697230131.

13103279640 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 2 + 7 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13103279595 and 13103279604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69391 + ... + 176129.

It is an arithmetic number, because the mean of its divisors is an integer number (249771600).

Almost surely, 2^13103279640 is an apocalyptic number.

13103279640 is a gapful number since it is divisible by the number (10) 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 13103279640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23978073600).

13103279640 is an abundant number, since it is smaller than the sum of its proper divisors (34852867560).

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

13103279640 is a wasteful number, since it uses less digits than its factorization.

13103279640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106798 (or 106791 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13103279640 in words is "thirteen billion, one hundred three million, two hundred seventy-nine thousand, six hundred forty".