1351314120 has 128 divisors (see below), whose sum is σ = 4380647040. Its totient is φ = 331499520.

The previous prime is 1351314109. The next prime is 1351314137. The reversal of 1351314120 is 214131531.

It is a super-2 number, since 2×1351314120² = 3652099701822748800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515052 + ... + 517668.

It is an arithmetic number, because the mean of its divisors is an integer number (34223805).

Almost surely, 2^1351314120 is an apocalyptic number.

1351314120 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 1351314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190323520).

1351314120 is an abundant number, since it is smaller than the sum of its proper divisors (3029332920).

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

1351314120 is a wasteful number, since it uses less digits than its factorization.

1351314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1351314120 is about 36760.2247000749. The cubic root of 1351314120 is about 1105.5679451076.

Adding to 1351314120 its reverse (214131531), we get a palindrome (1565445651).

The spelling of 1351314120 in words is "one billion, three hundred fifty-one million, three hundred fourteen thousand, one hundred twenty".