33130131000 has 128 divisors (see below), whose sum is σ = 104281819200. Its totient is φ = 8756428800.

The previous prime is 33130130987. The next prime is 33130131011. The reversal of 33130131000 is 13103133.

It is a super-2 number, since 2×33130131000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290136 + ... + 387864.

Almost surely, 2^33130131000 is an apocalyptic number.

33130131000 is a gapful number since it is divisible by the number (30) 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 33130131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52140909600).

33130131000 is an abundant number, since it is smaller than the sum of its proper divisors (71151688200).

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

33130131000 is a wasteful number, since it uses less digits than its factorization.

33130131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97866 (or 97852 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 33130131000 its reverse (13103133), we get a palindrome (33143234133).

The spelling of 33130131000 in words is "thirty-three billion, one hundred thirty million, one hundred thirty-one thousand".