1312113113220 has 192 divisors, whose sum is σ = 4545176025600. Its totient is φ = 275406815232.

The previous prime is 1312113113209. The next prime is 1312113113279. The reversal of 1312113113220 is 223113112131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431206 + ... + 1676354.

It is an arithmetic number, because the mean of its divisors is an integer number (23672791800).

Almost surely, 2^{1312113113220} is an apocalyptic number.

1312113113220 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 1312113113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272588012800).

1312113113220 is an abundant number, since it is smaller than the sum of its proper divisors (3233062912380).

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

1312113113220 is a wasteful number, since it uses less digits than its factorization.

1312113113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245374 (or 1245372 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1312113113220 its reverse (223113112131), we get a palindrome (1535226225351).

The spelling of 1312113113220 in words is "one trillion, three hundred twelve billion, one hundred thirteen million, one hundred thirteen thousand, two hundred twenty".