221313131010 has 128 divisors (see below), whose sum is σ = 594579087360. Its totient is φ = 58576747968.

The previous prime is 221313130999. The next prime is 221313131047. The reversal of 221313131010 is 10131313122.

221313131010 is a `hidden beast` number, since 2 + 213 + 131 + 310 + 10 = 666.

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 63 ways as a sum of consecutive naturals, for example, 37977717 + ... + 37983543.

It is an arithmetic number, because the mean of its divisors is an integer number (4645149120).

Almost surely, 2^221313131010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221313131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297289543680).

221313131010 is an abundant number, since it is smaller than the sum of its proper divisors (373265956350).

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

221313131010 is a wasteful number, since it uses less digits than its factorization.

221313131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6869 (or 6863 counting only the distinct ones).

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

Adding to 221313131010 its reverse (10131313122), we get a palindrome (231444444132).

The spelling of 221313131010 in words is "two hundred twenty-one billion, three hundred thirteen million, one hundred thirty-one thousand, ten".