1313522120 has 32 divisors (see below), whose sum is σ = 2956920120. Its totient is φ = 525143040.

The previous prime is 1313522101. The next prime is 1313522123. The reversal of 1313522120 is 212253131.

It can be written as a sum of positive squares in 4 ways, for example, as 492928804 + 820593316 = 22202^2 + 28646^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1313522092 and 1313522101.

It is not an unprimeable number, because it can be changed into a prime (1313522123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 84560 + ... + 98880.

Almost surely, 2^1313522120 is an apocalyptic number.

1313522120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313522120 is an abundant number, since it is smaller than the sum of its proper divisors (1643398000).

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

1313522120 is a wasteful number, since it uses less digits than its factorization.

1313522120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16625 (or 16621 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1313522120 is about 36242.5457163263. The cubic root of 1313522120 is about 1095.1639267241.

Adding to 1313522120 its reverse (212253131), we get a palindrome (1525775251).

The spelling of 1313522120 in words is "one billion, three hundred thirteen million, five hundred twenty-two thousand, one hundred twenty".