1381053120 has 224 divisors, whose sum is σ = 4586630400. Its totient is φ = 351719424.

The previous prime is 1381053103. The next prime is 1381053161. The reversal of 1381053120 is 213501831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2095351 + ... + 2096009.

Almost surely, 2^1381053120 is an apocalyptic number.

1381053120 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 1381053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293315200).

1381053120 is an abundant number, since it is smaller than the sum of its proper divisors (3205577280).

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

1381053120 is a wasteful number, since it uses less digits than its factorization.

1381053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1381053120 is about 37162.5230575105. The cubic root of 1381053120 is about 1113.6194164437.

Adding to 1381053120 its reverse (213501831), we get a palindrome (1594554951).

The spelling of 1381053120 in words is "one billion, three hundred eighty-one million, fifty-three thousand, one hundred twenty".