1312301222100 has 216 divisors, whose sum is σ = 4488056995968. Its totient is φ = 318078182400.

The previous prime is 1312301222047. The next prime is 1312301222117. The reversal of 1312301222100 is 12221032131.

1312301222100 is a `hidden beast` number, since 1 + 312 + 30 + 1 + 222 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 105003052 + ... + 105015548.

It is an arithmetic number, because the mean of its divisors is an integer number (20778041648).

Almost surely, 2^{1312301222100} is an apocalyptic number.

1312301222100 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 1312301222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244028497984).

1312301222100 is an abundant number, since it is smaller than the sum of its proper divisors (3175755773868).

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

1312301222100 is a wasteful number, since it uses less digits than its factorization.

1312301222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23135 (or 23125 counting only the distinct ones).

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

Adding to 1312301222100 its reverse (12221032131), we get a palindrome (1324522254231).

The spelling of 1312301222100 in words is "one trillion, three hundred twelve billion, three hundred one million, two hundred twenty-two thousand, one hundred".