333414002130 has 128 divisors (see below), whose sum is σ = 886993514496. Its totient is φ = 79529049600.

The previous prime is 333414002113. The next prime is 333414002147. The reversal of 333414002130 is 31200414333.

It is an interprime number because it is at equal distance from previous prime (333414002113) and next prime (333414002147).

It is a super-2 number, since 2×333414002130² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 333414002130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20133934 + ... + 20150486.

It is an arithmetic number, because the mean of its divisors is an integer number (6929636832).

Almost surely, 2^333414002130 is an apocalyptic number.

333414002130 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 333414002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443496757248).

333414002130 is an abundant number, since it is smaller than the sum of its proper divisors (553579512366).

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

333414002130 is a wasteful number, since it uses less digits than its factorization.

333414002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17552.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 333414002130 its reverse (31200414333), we get a palindrome (364614416463).

The spelling of 333414002130 in words is "three hundred thirty-three billion, four hundred fourteen million, two thousand, one hundred thirty".