3330031001022 has 192 divisors, whose sum is σ = 8207507782656. Its totient is φ = 967070791680.

The previous prime is 3330031001021. The next prime is 3330031001029. The reversal of 3330031001022 is 2201001300333.

3330031001022 is a `hidden beast` number, since 3 + 330 + 0 + 310 + 0 + 1 + 0 + 22 = 666.

It is a super-2 number, since 2×3330031001022² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3330031000986 and 3330031001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330031001021) 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, 87261898 + ... + 87300050.

It is an arithmetic number, because the mean of its divisors is an integer number (42747436368).

Almost surely, 2^{3330031001022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330031001022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103753891328).

3330031001022 is an abundant number, since it is smaller than the sum of its proper divisors (4877476781634).

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

3330031001022 is a wasteful number, since it uses less digits than its factorization.

3330031001022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38415 (or 38412 counting only the distinct ones).

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

Adding to 3330031001022 its reverse (2201001300333), we get a palindrome (5531032301355).

It can be divided in two parts, 333003 and 1001022, that added together give a square (1334025 = 1155²).

The spelling of 3330031001022 in words is "three trillion, three hundred thirty billion, thirty-one million, one thousand, twenty-two".