1313212001220 has 576 divisors, whose sum is σ = 4679378436096. Its totient is φ = 291950438400.

The previous prime is 1313212001113. The next prime is 1313212001221. The reversal of 1313212001220 is 221002123131.

1313212001220 is a `hidden beast` number, since 131 + 321 + 200 + 12 + 2 + 0 = 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 = 1313212001193 and 1313212001202.

It is not an unprimeable number, because it can be changed into a prime (1313212001221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2163446157 + ... + 2163446763.

It is an arithmetic number, because the mean of its divisors is an integer number (8123920896).

Almost surely, 2^{1313212001220} is an apocalyptic number.

1313212001220 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 1313212001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339689218048).

1313212001220 is an abundant number, since it is smaller than the sum of its proper divisors (3366166434876).

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

1313212001220 is a wasteful number, since it uses less digits than its factorization.

1313212001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1313212001220 its reverse (221002123131), we get a palindrome (1534214124351).

The spelling of 1313212001220 in words is "one trillion, three hundred thirteen billion, two hundred twelve million, one thousand, two hundred twenty".