1322113113100 has 144 divisors (see below), whose sum is σ = 3190584011776. Its totient is φ = 472233888000.

The previous prime is 1322113113077. The next prime is 1322113113109. The reversal of 1322113113100 is 13113112231.

It is a super-2 number, since 2×1322113113100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1322113113109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 143906707 + ... + 143915893.

Almost surely, 2^{1322113113100} is an apocalyptic number.

1322113113100 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 1322113113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595292005888).

1322113113100 is an abundant number, since it is smaller than the sum of its proper divisors (1868470898676).

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

1322113113100 is a wasteful number, since it uses less digits than its factorization.

1322113113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12816 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1322113113100 its reverse (13113112231), we get a palindrome (1335226225331).

The spelling of 1322113113100 in words is "one trillion, three hundred twenty-two billion, one hundred thirteen million, one hundred thirteen thousand, one hundred".