1322311013100 has 864 divisors, whose sum is σ = 5249605670400. Its totient is φ = 270430617600.

The previous prime is 1322311013077. The next prime is 1322311013119. The reversal of 1322311013100 is 13101132231.

1322311013100 is a `hidden beast` number, since 1 + 322 + 31 + 1 + 0 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×1322311013100² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1539360471 + ... + 1539361329.

Almost surely, 2^{1322311013100} is an apocalyptic number.

1322311013100 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 1322311013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624802835200).

1322311013100 is an abundant number, since it is smaller than the sum of its proper divisors (3927294657300).

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

1322311013100 is a wasteful number, since it uses less digits than its factorization.

1322311013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1322311013100 its reverse (13101132231), we get a palindrome (1335412145331).

The spelling of 1322311013100 in words is "one trillion, three hundred twenty-two billion, three hundred eleven million, thirteen thousand, one hundred".