223131133420104 has 1152 divisors, whose sum is σ = 760727765145600. Its totient is φ = 53221845381120.

The previous prime is 223131133420067. The next prime is 223131133420133. The reversal of 223131133420104 is 401024331131322.

223131133420104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223131133420104³ (a number of 44 digits) contains 333 as substring.

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, 48857263629 + ... + 48857268195.

It is an arithmetic number, because the mean of its divisors is an integer number (660353962800).

Almost surely, 2^{223131133420104} is an apocalyptic number.

223131133420104 is a gapful number since it is divisible by the number (24) 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 223131133420104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380363882572800).

223131133420104 is an abundant number, since it is smaller than the sum of its proper divisors (537596631725496).

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

223131133420104 is a wasteful number, since it uses less digits than its factorization.

223131133420104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 223131133420104 its reverse (401024331131322), we get a palindrome (624155464551426).

The spelling of 223131133420104 in words is "two hundred twenty-three trillion, one hundred thirty-one billion, one hundred thirty-three million, four hundred twenty thousand, one hundred four".