3135023131680 has 1152 divisors, whose sum is σ = 12629954937600. Its totient is φ = 733447249920.

The previous prime is 3135023131657. The next prime is 3135023131699. The reversal of 3135023131680 is 861313205313.

3135023131680 is a `hidden beast` number, since 3 + 1 + 35 + 0 + 231 + 316 + 80 = 666.

3135023131680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1500728076 + ... + 1500730164.

It is an arithmetic number, because the mean of its divisors is an integer number (10963502550).

Almost surely, 2^{3135023131680} is an apocalyptic number.

3135023131680 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 3135023131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314977468800).

3135023131680 is an abundant number, since it is smaller than the sum of its proper divisors (9494931805920).

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

3135023131680 is a wasteful number, since it uses less digits than its factorization.

3135023131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 3135023131680 its reverse (861313205313), we get a palindrome (3996336336993).

The spelling of 3135023131680 in words is "three trillion, one hundred thirty-five billion, twenty-three million, one hundred thirty-one thousand, six hundred eighty".