3135334123020 has 384 divisors, whose sum is σ = 10176191004672. Its totient is φ = 714215577600.

The previous prime is 3135334122929. The next prime is 3135334123073. The reversal of 3135334123020 is 203214335313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122112904 + ... + 122138576.

It is an arithmetic number, because the mean of its divisors is an integer number (26500497408).

Almost surely, 2^{3135334123020} is an apocalyptic number.

3135334123020 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 3135334123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088095502336).

3135334123020 is an abundant number, since it is smaller than the sum of its proper divisors (7040856881652).

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

3135334123020 is a wasteful number, since it uses less digits than its factorization.

3135334123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25901 (or 25899 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 3135334123020 its reverse (203214335313), we get a palindrome (3338548458333).

The spelling of 3135334123020 in words is "three trillion, one hundred thirty-five billion, three hundred thirty-four million, one hundred twenty-three thousand, twenty".