33121013130 has 128 divisors (see below), whose sum is σ = 94192761600. Its totient is φ = 8252762112.

The previous prime is 33121013099. The next prime is 33121013137. The reversal of 33121013130 is 3131012133.

It is a happy number.

33121013130 is a `hidden beast` number, since 331 + 21 + 0 + 1 + 313 + 0 = 666.

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 (33121013137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612054 + ... + 663966.

It is an arithmetic number, because the mean of its divisors is an integer number (735880950).

Almost surely, 2^33121013130 is an apocalyptic number.

33121013130 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 33121013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47096380800).

33121013130 is an abundant number, since it is smaller than the sum of its proper divisors (61071748470).

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

33121013130 is a wasteful number, since it uses less digits than its factorization.

33121013130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52085 (or 52079 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 33121013130 its reverse (3131012133), we get a palindrome (36252025263).

The spelling of 33121013130 in words is "thirty-three billion, one hundred twenty-one million, thirteen thousand, one hundred thirty".