1301311620 has 108 divisors (see below), whose sum is σ = 4591802124. Its totient is φ = 297440640.

The previous prime is 1301311567. The next prime is 1301311657. The reversal of 1301311620 is 261131031.

1301311620 is a `hidden beast` number, since 1 + 30 + 1 + 3 + 11 + 620 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 208744704 + 1092566916 = 14448^2 + 33054^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1301311593 and 1301311602.

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 35 ways as a sum of consecutive naturals, for example, 64951 + ... + 82590.

Almost surely, 2^1301311620 is an apocalyptic number.

1301311620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301311620 is an abundant number, since it is smaller than the sum of its proper divisors (3290490504).

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

1301311620 is a wasteful number, since it uses less digits than its factorization.

1301311620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147570 (or 147558 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1301311620 is about 36073.6970658678. The cubic root of 1301311620 is about 1091.7598091056.

Adding to 1301311620 its reverse (261131031), we get a palindrome (1562442651).

The spelling of 1301311620 in words is "one billion, three hundred one million, three hundred eleven thousand, six hundred twenty".