1311727620 has 96 divisors (see below), whose sum is σ = 4203795456. Its totient is φ = 299376000.

The previous prime is 1311727603. The next prime is 1311727631. The reversal of 1311727620 is 267271131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338695 + ... + 342545.

It is an arithmetic number, because the mean of its divisors is an integer number (43789536).

Almost surely, 2^1311727620 is an apocalyptic number.

1311727620 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 1311727620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101897728).

1311727620 is an abundant number, since it is smaller than the sum of its proper divisors (2892067836).

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

1311727620 is a wasteful number, since it uses less digits than its factorization.

1311727620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4681 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 1311727620 is about 36217.7804399994. The cubic root of 1311727620 is about 1094.6649712100.

Adding to 1311727620 its reverse (267271131), we get a palindrome (1578998751).

The spelling of 1311727620 in words is "one billion, three hundred eleven million, seven hundred twenty-seven thousand, six hundred twenty".