1388013120 has 336 divisors, whose sum is σ = 5198985792. Its totient is φ = 337858560.

The previous prime is 1388013119. The next prime is 1388013163. The reversal of 1388013120 is 213108831.

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, 4904499 + ... + 4904781.

It is an arithmetic number, because the mean of its divisors is an integer number (15473172).

Almost surely, 2^1388013120 is an apocalyptic number.

1388013120 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 1388013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599492896).

1388013120 is an abundant number, since it is smaller than the sum of its proper divisors (3810972672).

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

1388013120 is a wasteful number, since it uses less digits than its factorization.

1388013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1388013120 is about 37256.0480996039. The cubic root of 1388013120 is about 1115.4870267428.

It can be divided in two parts, 13880 and 13120, that added together give a cube (27000 = 30³).

The spelling of 1388013120 in words is "one billion, three hundred eighty-eight million, thirteen thousand, one hundred twenty".