322313011013100 has 72 divisors (see below), whose sum is σ = 981641030050240. Its totient is φ = 81426444886080.

The previous prime is 322313011013003. The next prime is 322313011013101. The reversal of 322313011013100 is 1310110313223.

It is a happy number.

It is a super-2 number, since 2×322313011013100² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (322313011013101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28273065442 + ... + 28273076841.

Almost surely, 2^{322313011013100} is an apocalyptic number.

322313011013100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

322313011013100 is an abundant number, since it is smaller than the sum of its proper divisors (659328019037140).

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

322313011013100 is a wasteful number, since it uses less digits than its factorization.

322313011013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56546142319 (or 56546142312 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 322313011013100 its reverse (1310110313223), we get a palindrome (323623121326323).

The spelling of 322313011013100 in words is "three hundred twenty-two trillion, three hundred thirteen billion, eleven million, thirteen thousand, one hundred".