1301211121320 has 288 divisors, whose sum is σ = 4674044498760. Its totient is φ = 313700428800.

The previous prime is 1301211121289. The next prime is 1301211121429. The reversal of 1301211121320 is 231211121031.

1301211121320 is a `hidden beast` number, since 1 + 301 + 21 + 1 + 1 + 21 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 815549874084 + 485661247236 = 903078^2 + 696894^2 .

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 = 1301211121293 and 1301211121302.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7801842 + ... + 7966878.

Almost surely, 2^{1301211121320} is an apocalyptic number.

1301211121320 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 1301211121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337022249380).

1301211121320 is an abundant number, since it is smaller than the sum of its proper divisors (3372833377440).

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

1301211121320 is a wasteful number, since it uses less digits than its factorization.

1301211121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165257 (or 165239 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1301211121320 its reverse (231211121031), we get a palindrome (1532422242351).

The spelling of 1301211121320 in words is "one trillion, three hundred one billion, two hundred eleven million, one hundred twenty-one thousand, three hundred twenty".