1310222132100 has 216 divisors, whose sum is σ = 4695438500480. Its totient is φ = 299356093440.

The previous prime is 1310222132081. The next prime is 1310222132207. The reversal of 1310222132100 is 12312220131.

1310222132100 is a `hidden beast` number, since 1 + 310 + 2 + 221 + 32 + 100 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15727356 + ... + 15810444.

Almost surely, 2^{1310222132100} is an apocalyptic number.

1310222132100 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 1310222132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347719250240).

1310222132100 is an abundant number, since it is smaller than the sum of its proper divisors (3385216368380).

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

1310222132100 is a wasteful number, since it uses less digits than its factorization.

1310222132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85619 (or 85609 counting only the distinct ones).

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

Adding to 1310222132100 its reverse (12312220131), we get a palindrome (1322534352231).

The spelling of 1310222132100 in words is "one trillion, three hundred ten billion, two hundred twenty-two million, one hundred thirty-two thousand, one hundred".