33130223010 has 192 divisors, whose sum is σ = 89232904800. Its totient is φ = 8524800000.

The previous prime is 33130223003. The next prime is 33130223011. The reversal of 33130223010 is 1032203133.

33130223010 is a `hidden beast` number, since 331 + 30 + 2 + 2 + 301 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5945797881 + 27184425129 = 77109^2 + 164877^2 .

It is a super-2 number, since 2×33130223010² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33130223011) 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, 82618810 + ... + 82619210.

Almost surely, 2^33130223010 is an apocalyptic number.

33130223010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33130223010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44616452400).

33130223010 is an abundant number, since it is smaller than the sum of its proper divisors (56102681790).

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

33130223010 is a wasteful number, since it uses less digits than its factorization.

33130223010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33130223010 its reverse (1032203133), we get a palindrome (34162426143).

The spelling of 33130223010 in words is "thirty-three billion, one hundred thirty million, two hundred twenty-three thousand, ten".