10313223223100 has 288 divisors, whose sum is σ = 27561947922432. Its totient is φ = 3271672800000.

The previous prime is 10313223223099. The next prime is 10313223223109. The reversal of 10313223223100 is 132232231301.

It is a super-2 number, since 2×10313223223100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313223223109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2041815575 + ... + 2041820625.

It is an arithmetic number, because the mean of its divisors is an integer number (95701208064).

Almost surely, 2^{10313223223100} is an apocalyptic number.

10313223223100 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 10313223223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780973961216).

10313223223100 is an abundant number, since it is smaller than the sum of its proper divisors (17248724699332).

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

10313223223100 is a wasteful number, since it uses less digits than its factorization.

10313223223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10313223223100 its reverse (132232231301), we get a palindrome (10445455454401).

The spelling of 10313223223100 in words is "ten trillion, three hundred thirteen billion, two hundred twenty-three million, two hundred twenty-three thousand, one hundred".