1313132220 has 144 divisors (see below), whose sum is σ = 4149931968. Its totient is φ = 335784960.

The previous prime is 1313132213. The next prime is 1313132231. The reversal of 1313132220 is 222313131.

1313132220 is a `hidden beast` number, since 1 + 313 + 132 + 220 = 666.

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 = 1313132193 and 1313132202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471472 + ... + 474248.

It is an arithmetic number, because the mean of its divisors is an integer number (28818972).

Almost surely, 2^1313132220 is an apocalyptic number.

1313132220 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 1313132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074965984).

1313132220 is an abundant number, since it is smaller than the sum of its proper divisors (2836799748).

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

1313132220 is a wasteful number, since it uses less digits than its factorization.

1313132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1313132220 is about 36237.1662799397. The cubic root of 1313132220 is about 1095.0555548220.

Adding to 1313132220 its reverse (222313131), we get a palindrome (1535445351).

The spelling of 1313132220 in words is "one billion, three hundred thirteen million, one hundred thirty-two thousand, two hundred twenty".